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10th Edition

Jerome E. Kaufmann + 1 other

Publisher: Cengage Learning

ISBN: 9781285195728

Chapter 7.4, Problem 85PS

Textbook Problem

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The problem of finding the perpendicular bisector of a line segment presents itself often in the study of analytic geometry. As with any problem of writing the equation of a line, you must determine the slope of the line and a point that the line passes through. A perpendicular bisector passes through the midpoint of the line segment and has a slope that is the negative reciprocal of the slope of the line segment The problem can be solved as follows:

Find the perpendicular bisector of the line segment between the points

The midpoint of the line segment is

The slope of line segment is

Hence the perpendicular bisector will pass through the point

Thus the equation of perpendicular bisector of the line segment between the points

Find the perpendicular bisector of the line segment between the points for the following. Write the equation in standard form.

**(a)**

**(b)**

**(c)**

**(d)**

To determine

(a)

**To find:**

The equation of perpendicular bisector of the line segment between the given points.

**Approach:**

Standard form of a linear equation is given by,

Where

**Formula used:**

The mid-point of the line segment is given by,

Where,

Slope of line is given by,

Where,

Point-Slope Form of an equation is,

Where,

**Calculation:**

The given points are,

Substitute

To determine

**(b)**

**To find:**

The equation of perpendicular bisector of the line segment between the given points.

To determine

**(c)**

**To find:**

The equation of perpendicular bisector of the line segment between the given points.

To determine

**(d)**

**To find:**

The equation of perpendicular bisector of the line segment between the given points.

Intermediate Algebra

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For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 1524, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 2532, write the equation of the line...Ch. 7.4 - For Problems 33-48, write the equation of the line...Ch. 7.4 - 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For Problems 4954, change the equation to...Ch. 7.4 - For Problems 4954, change the equation to...Ch. 7.4 - For Problems 4954, change the equation to...Ch. 7.4 - For Problems 4954, change the equation to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 5562, use the slope-intercept form to...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 6372, graph the following lines using...Ch. 7.4 - For Problems 7378, the situations can be described...Ch. 7.4 - For Problems 7378, the situations can be described...Ch. 7.4 - For Problems 7378, the situations can be described...Ch. 7.4 - For Problems 7378, the situations can be described...Ch. 7.4 - For Problems 7378, the situations can be described...Ch. 7.4 - For Problems 7378, the situations can be described...Ch. 7.4 - What does it mean to say that two points determine...Ch. 7.4 - How would you help a friend determine the equation...Ch. 7.4 - Explain how you would find the slope of the line...Ch. 7.4 - The equation of a line that contains the two...Ch. 7.4 - Let Ax+By=C and Ax+By=C represent two lines....Ch. 7.4 - The properties in Problem 83 provide us with...Ch. 7.4 - 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The...Ch. 7.5 - For Problems 110, answer true or false. If a graph...Ch. 7.5 - For Problems 110, answer true or false. When...Ch. 7.5 - For Problems 110, answer true or false. If a...Ch. 7.5 - For Problems 110, answer true or false. If the...Ch. 7.5 - For Problems 110, answer true or false. If the...Ch. 7.5 - For Problems 110, answer true or false. If for...Ch. 7.5 - For Problems 110, answer true or false. The graph...Ch. 7.5 - For Problems 110, answer true or false. The graph...Ch. 7.5 - For Problems 110, answer true or false. Every...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For each of the points in Problems 15, determine...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problem 6-25, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 625, determine the types of symmetry...Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equation....Ch. 7.5 - For Problems 26-59, graph each of the equations....Ch. 7.5 - For Problems 26-59, graph each of the equations....Ch. 7.5 - For Problems 26-59, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - For Problems 2659, graph each of the equations....Ch. 7.5 - How would you convince someone that there are...Ch. 7.5 - What is the graph of x=0? What is the graph of...Ch. 7.5 - Is a graph symmetric with respect to the origin if...Ch. 7.5 - Is a graph symmetric with respect to both axes if...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.5 - This set of activities is designed to help you get...Ch. 7.S - Find the ordered pair for the equation 3x2y=10 if...Ch. 7.S - Graph y=x+2.Ch. 7.S - Graph 2x+y=4.Ch. 7.S - Graph x2y=0.Ch. 7.S - A car rental company charges a flat fee of 30 plus...Ch. 7.S - Graph 2xy4.Ch. 7.S - Find the distance between (1,4) and (2,3).Ch. 7.S - Find the slope of a line that contains the points...Ch. 7.S - Graph the line that contains the point (1,5) and...Ch. 7.S - A wheelchair ramp will be installed that needs to...Ch. 7.S - Change the equation 3x2y=14 to slope-intercept...Ch. 7.S - Find the equation of the line that contains the...Ch. 7.S - Find the equation of the line that contains the...Ch. 7.S - Find the equation of the line that contains the...Ch. 7.S - Determine the type of symmetry exhibited by the...Ch. 7.S - Graph x2+y3=0.Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 14, determine which of the ordered...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 58, complete the tables of values for...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 916, graph each equation by finding...Ch. 7.CR - For Problems 1728, graph each equation. y=3x1Ch. 7.CR - For Problems 1728, graph each equation. y=x+4Ch. 7.CR - For Problems 1728, graph each equation. x=3Ch. 7.CR - For Problems 1728, graph each equation. y=5Ch. 7.CR - For Problems 1728, graph each equation. y=4xCh. 7.CR - For Problems 1728, graph each equation. 2x+3y=0Ch. 7.CR - For Problems 1728, graph each equation. x=1Ch. 7.CR - For Problems 1728, graph each equation. y=2Ch. 7.CR - For Problems 1728, graph each equation. y=13xCh. 7.CR - For Problems 1728, graph each equation. y=23xCh. 7.CR - For Problems 1728, graph each equation. y=4Ch. 7.CR - For Problems 1728, graph each equation. x=3Ch. 7.CR - a An apartment moving company charges according to...Ch. 7.CR - a The value added tax is computed by the equation...Ch. 7.CR - For Problem 3138 graph each in equality. x+3y6Ch. 7.CR - For Problem 3138 graph each in equality. x+2y4Ch. 7.CR - For Problem 3138 graph each in equality. 2x3y6Ch. 7.CR - For Problem 3138 graph each in equality. y12x+3Ch. 7.CR - For Problem 3138 graph each in equality. y2x5Ch. 7.CR - For Problem 3138 graph each in equality. y23xCh. 7.CR - For Problem 3138 graph each in equality. y2xCh. 7.CR - For Problem 3138 graph each in equality. y3xCh. 7.CR - Find the distance between each of the pairs of...Ch. 7.CR - Find the lengths of the sides of a triangle whose...Ch. 7.CR - Verify that (1,2) is the midpoint of the line...Ch. 7.CR - Find the slope of the line determined by each pair...Ch. 7.CR - Find y if the line through (4,3) and (12,y) has a...Ch. 7.CR - Find x if the line through(x,5) and (3,-1) has a...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - For Problems 4548, graph the line that has the...Ch. 7.CR - A certain highway has a 6 grade. How many feet...Ch. 7.CR - If the ratio of rise to run is to be 23 for the...Ch. 7.CR - Find the slope of each of the following lines. a...Ch. 7.CR - Find the slope of any line that is perpendicular...Ch. 7.CR - Find the slope of any line that is parallel to the...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - For Problems 5461, write the equation of the line...Ch. 7.CR - The taxes for a primary residence can be described...Ch. 7.CR - The freight charged by a trucking firm for a...Ch. 7.CR - On a final exam in math class, the number of...Ch. 7.CR - The time needed to install computer cables has a...Ch. 7.CR - Determine the types of symmetry symmetry with...Ch. 7.CR - For Problems 6772, graph each equation. y=x3+2Ch. 7.CR - For Problems 6772, graph each equation. y=x3Ch. 7.CR - For Problems 6772, graph each equation. y=x2+3Ch. 7.CR - For Problems 6772, graph each equation. y=2x21Ch. 7.CR - For Problems 6772, graph each equation. y=x2+6Ch. 7.CR - For Problems 6772, graph each equation. y=x24Ch. 7.CT - Find the slope of the line determined by the...Ch. 7.CT - Find the slope of the line determined by the...Ch. 7.CT - Find the length of a line segment with endpoints...Ch. 7.CT - Find the equation of the line that has a slope of...Ch. 7.CT - Find the equation of the line that contains the...Ch. 7.CT - Find the equation of the line that is parallel to...Ch. 7.CT - Find the equation of the line that is...Ch. 7.CT - What kinds of symmetry does the graph of y=9x...Ch. 7.CT - What kinds of symmetry does the graph of y2=x2+6...Ch. 7.CT - What kinds of symmetry does the graph of...Ch. 7.CT - What is the slope of all lines that are parallel...Ch. 7.CT - What is the slope of all lines that are...Ch. 7.CT - Find the x intercept of the line y=35x23.Ch. 7.CT - Find the y intercept of the line 34x25y=14.Ch. 7.CT - The grade of a highway up a hill is 25. How much...Ch. 7.CT - Suppose that a highway rises 200 feet in a...Ch. 7.CT - If the ratio of rise to sun is to be 34 for the...Ch. 7.CT - For Problems 1823, graph each equation. y=x23Ch. 7.CT - For Problems 1823, graph each equation. y=x3Ch. 7.CT - For Problems 1823, graph each equation. 3x+y=5Ch. 7.CT - For Problems 1823, graph each equation. y=23xCh. 7.CT - For Problems 1823, graph each equation. 2x+3y=12Ch. 7.CT - For Problems 1823, graph each equation. y=14x14Ch. 7.CT - For Problem 24 and 25, graph each inequality. 2xy4Ch. 7.CT - For Problem 24 and 25, graph each inequality....

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