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7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 10.5, Problem 15E

Textbook Problem

*In Exercises 9 to 24, find an equation of the line described. Leave the solution in the form
*.

The line contains (0, *b*) and (*a*, 0).

Expert Solution

To determine

**To answer:**

Find the equation of the line which contains (0, *b*) and (*a*, 0).

The general equation of a line in Point-Slope form is

Here,

To use Point-Slope form, it is required to find the slope using the equation,

From the given points,

Let

Substitute

So,

Now the general equation can be written as,

Elementary Geometry For College Students, 7e

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Ch. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Points A and B have symmetry with respect to point...Ch. 10.1 - Points A and B have symmetry with respect to point...Ch. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Points A and B have symmetry with resect to the...Ch. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Points A and B have symmetry with respect to the...Ch. 10.1 - Points A and B have symmetry with respect to...Ch. 10.1 - Points A and B have symmetry with respect to a...Ch. 10.1 - In Exercises 20 to 22, apply the Midpoint Formula....Ch. 10.1 - In Exercises 20 to 22, apply the Midpoint Formula....Ch. 10.1 - In Exercises 20 to 22, apply the Midpoint Formula....Ch. 10.1 - A rectangle ABCD has three of its vertices at...Ch. 10.1 - A rectangle MNPQ has three of its vertices at M0,...Ch. 10.1 - Use the Distance Formula to determine the type of...Ch. 10.1 - Use the method of Example 4 to find the equation...Ch. 10.1 - Use the method of Example 4 to find the equation...Ch. 10.1 - For coplanar points A,B, and C, suppose that you...Ch. 10.1 - If two vertices of an equilateral triangle are at...Ch. 10.1 - The rectangle whose vertices are A0, 0,Ba,0,Ca,b,...Ch. 10.1 - There are two points on the y-axis that are...Ch. 10.1 - There are two points on the x-axis that are...Ch. 10.1 - The triangle that has vertices at...Ch. 10.1 - Use the boxing method as suggested in Exercise 33,...Ch. 10.1 - Determine the area of ABC if A=2,1,B=5,3,andC is...Ch. 10.1 - Find the area of ABC In Exercise 35, but assume...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact volume of the solid that results...Ch. 10.1 - Find the exact lateral area of each solid in...Ch. 10.1 - Find the volume of the solid formed when the...Ch. 10.1 - By definition, an ellipse is the locus of points...Ch. 10.1 - By definition, a hyperbola is the locus of points...Ch. 10.1 - Use the Distance Formula to show that the equation...Ch. 10.1 - Use the Distance Formula to show that the equation...Ch. 10.1 - Following a 90 counterclockwise rotation about the...Ch. 10.1 - Consider the point Ca,b. 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a A-2,5, B0,2, and...Ch. 10.2 - Are these points collinear? a A-1,-2, B3,2, and...Ch. 10.2 - Parallel lines l1 and l2 have slopes m1 and m2,...Ch. 10.2 - Parallel lines l1 and l2 have slopes m1 and m2,...Ch. 10.2 - Perpendicular lines l1 and l2 have slopes m1 and...Ch. 10.2 - Perpendicular lines l1 and l2 have slopes m1 and...Ch. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - In Exercises 21 to 24, state whether the lines are...Ch. 10.2 - Find x such that the points Ax,5, B2,3, and C4,-5...Ch. 10.2 - Find a such that the points A1,3, B4,5, and Ca,a...Ch. 10.2 - Find x such that the line through 2,-3 and 3,2 is...Ch. 10.2 - Find x such that the line through 2,-3 and 3,2 is...Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - In Exercises 29 to 34, draw the line described....Ch. 10.2 - Use slopes to decide whether the triangle with...Ch. 10.2 - If A2,2, B7,3, and C4,x are the vertices of a...Ch. 10.2 - If 2,3, 5,-2, and 7,2 are three vertices not...Ch. 10.2 - Three vertices of rectangle ABCD are A-5,1,...Ch. 10.2 - Show that quadrilateral RSTV is an isosceles...Ch. 10.2 - Show that quadrilateral ABCD is a parallelogram.Ch. 10.2 - Quadrilateral EFGH has the vertices E0,0, Fa,0,...Ch. 10.2 - Find an equation involving a, b, c, d, and e if...Ch. 10.2 - Prove that if two nonvertical lines are parallel,...Ch. 10.2 - Prove that if two lines neither horizontal nor...Ch. 10.2 - Where m0 and b0, the graph of y=mx+b along with...Ch. 10.2 - Where m0, a0, and b0, the graph of y=mx+b, and the...Ch. 10.2 - Pentagon ABCDE has vertices A0,0, B0,b, Cd,c,...Ch. 10.3 - Find an expression for a The distance between a,0...Ch. 10.3 - Find the coordinates of the midpoint of the...Ch. 10.3 - Find the slope of the line containing the points a...Ch. 10.3 - Find the slope of the line that is a parallel to...Ch. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - In Exercises 5 to 10, the real numbers a, b, c,...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 11 to 16, supply the missing...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - In Exercises 17 to 22, draw an ideally placed...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - In Exercises 23 to 28, find the equation...Ch. 10.3 - The drawing shows isosceles ABC with AC-BC-. a...Ch. 10.3 - The drawing shows parallelogram RSTV. a What type...Ch. 10.3 - Which formula would you use to establish each of...Ch. 10.3 - Which formula would you use to establish each of...Ch. 10.3 - In Exercises 33 to 36, draw and label a...Ch. 10.3 - In Exercises 33 to 36, draw and label a...Ch. 10.3 - In Exercises 33 to 36, draw and label a...Ch. 10.3 - In Exercises 33 to 36, draw and label a...Ch. 10.3 - ABCD is a rectangle with vertex A=a,b in Quadrant...Ch. 10.3 - Circle O has its center at the origin and contains...Ch. 10.3 - In RST, SV- bisects RST. 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a 0,0,6...Ch. 10.6 - Which points lie in the plane 2x+y-z=10? a 0,0,10...Ch. 10.6 - In Exercises 23 to 26, find an equation for each...Ch. 10.6 - In Exercises 23 to 26, find an equation for each...Ch. 10.6 - In Exercises 23 to 26, find an equation for each...Ch. 10.6 - In Exercises 23 to 26, find an equation for each...Ch. 10.6 - Which points lie on the line x,y,z=2,-1,5+n1,2,-1?...Ch. 10.6 - Which points lie on the line x,y,z=2,1,-3+n3,2,-4?...Ch. 10.6 - Explain why the lines below are parallel. l1:...Ch. 10.6 - Explain why the lines below intersect. l1:...Ch. 10.6 - Explain why the lines below are coincident. l1:...Ch. 10.6 - Explain why the lines below are skew. l1:...Ch. 10.6 - For Exercises 33 and 34, apply the following...Ch. 10.6 - For Exercises 33 and 34, apply the following...Ch. 10.6 - The planes x+2y+3z=12 and 2x+3y+z=18 intersect in...Ch. 10.6 - The planes x+2y+z=9 and 3x+y-2z=2 intersect in a...Ch. 10.6 - The line x,y,z=3,4,5+n3,4,-5 intersects the sphere...Ch. 10.6 - The line x,y,z=0,0,0+n1,1,2 intersects the sphere...Ch. 10.6 - Find the surface area and volume of the sphere...Ch. 10.6 - For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64,...Ch. 10.6 - Does the sphere x2+y2+z2=100 have symmetry with...Ch. 10.6 - Lines l1: x,y,z=2,3,-1+n1,1,2 and l2:...Ch. 10.6 - Lines l1: x,y,z=2,0,3+n2,-3,5 and l2:...Ch. 10.6 - The planes with the equation x+2z=12 and y-3z=6...Ch. 10.6 - The planes with the equation x+3z=12 and y-5z=10...Ch. 10.6 - Determine the point of intersection, if such a...Ch. 10.6 - Determine the point of intersection, if such a...Ch. 10.CR - Find the distance between each pair of points: a...Ch. 10.CR - Find the distance between each pair of points: a...Ch. 10.CR - Find the midpoint of the line segment that joins...Ch. 10.CR - Find the midpoint of the line segment that joins...Ch. 10.CR - Find the slope of the line containing each pair of...Ch. 10.CR - Find the slope of the line containing each pair of...Ch. 10.CR - 2,1 is the midpoint of AB-, in which A has...Ch. 10.CR - The y-axis is the perpendicular bisector of RS-....Ch. 10.CR - If A has coordinates 2,1 and B has coordinates...Ch. 10.CR - If R has coordinates -5,2 and S has coordinates...Ch. 10.CR - Without graphing, determine whether the pair of...Ch. 10.CR - Determine whether the points -6,5, 1,7, and 16,10...Ch. 10.CR - Find x so that -2,3, x,6, and 8,8 are collinear.Ch. 10.CR - Draw the graph of 3x+7y=21, and name the...Ch. 10.CR - Draw the graph of 4x-3y=9 by first changing the...Ch. 10.CR - Draw the garph of y+2=-23x-1.Ch. 10.CR - Write an equation for a the line through 2,3 and...Ch. 10.CR - Show that the triangle whose vertices are A-2,-3,...Ch. 10.CR - Show that the triangle whose vertices are A3,6,...Ch. 10.CR - Show that quadrilateral RSTV with vertices R-5,-3,...Ch. 10.CR - In Review Exercises 21 and 22, find the...Ch. 10.CR - In Review Exercises 21 and 22, find the...Ch. 10.CR - In Review Exercises 23 and 24, solve the system of...Ch. 10.CR - In Review Exercises 23 and 24, solve the system of...Ch. 10.CR - Three of the four vertices of a parallelogram are...Ch. 10.CR - A3,1, B5,9, and C11,3 are the vertices of ABC. a...Ch. 10.CR - In Review Exercise 27 to 30, supply the missing...Ch. 10.CR - In Review Exercise 27 to 30, supply the missing...Ch. 10.CR - In Review Exercise 27 to 30, supply the missing...Ch. 10.CR - In Review Exercise 27 to 30, supply the missing...Ch. 10.CR - A2a,2b, B2c,2d, and C0,2e are the vertices of ABC....Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Prove the statements in Review Exercises 32 to 36...Ch. 10.CR - Determine whether ABC, with vertices A0,0,0,...Ch. 10.CR - For the line that contains the points P1-1,2,4 and...Ch. 10.CR - Consider the line that contains the points 2,-3,5...Ch. 10.CR - For the sphere with equation x-12+y+22+z+42=36,...Ch. 10.CT - In the coordinate system provided, give the...Ch. 10.CT - In the coordinate system for Exercise 1, plot and...Ch. 10.CT - Use d=x2-x12+y2-y12 to find the length of CD- as...Ch. 10.CT - In the form x,y, determine the midpoint of CD- as...Ch. 10.CT - Complete the following table of x and...Ch. 10.CT - Using the table from Exercise 5, sketch the graph...Ch. 10.CT - Find the slope m of a line containing these...Ch. 10.CT - Line l has slope m=23. Find the slope of any line...Ch. 10.CT - What type of quadrilateral ABCD is represented if...Ch. 10.CT - For the quadrilateral ABCD of Exercise 9 to be a...Ch. 10.CT - Being as specific as possible, decribe the type of...Ch. 10.CT - Which formula by name is used to establish that a...Ch. 10.CT - Using as few variables as possible, state the...Ch. 10.CT - For providing the theorem The midpoint of the...Ch. 10.CT - In the figure, we see that mRS-=mVT-=0. Find the...Ch. 10.CT - In the form, y=mx+b, find the equation of the line...Ch. 10.CT - Use y-y1=mx-x1to find the equation of the line...Ch. 10.CT - Use the graphs provided to solve the system...Ch. 10.CT - Use algebra to solve the system consisting of the...Ch. 10.CT - Use the drawing provided for the proof of the...Ch. 10.CT - In cartesian space, line segment P1P2- has...Ch. 10.CT - In cartesian space, the point form of a line is...

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Limit and Continuity In Exercises 11-24, find the limit and discuss the continuity of the function. lim(x,y)(1,...

Multivariable Calculus

True or False: If f(x) 0 for all x in an interval I then f is increasing on I.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnatito Tampa. Suppose we b...

Statistics for Business & Economics, Revised (MindTap Course List)

Describe the three primary techniques for controlling extraneous variables (holding constant, matching, and ran...

Research Methods for the Behavioral Sciences (MindTap Course List)

Select one construct from the following list: self-esteem femininity/masculinity creativity hunger motivation f...

Research Methods for the Behavioral Sciences (MindTap Course List)

Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then evaluate F of...

Calculus (MindTap Course List)

The paper Stature and Status: Height, Ability, and Labor Market Outcomes (Journal of Political Economy [2008]: ...

Introduction To Statistics And Data Analysis

Solve x3=15.Express the answer as both a common fraction and a decimal fraction.

Mathematics For Machine Technology

As shown in Example 5.6.8, if a bank pays interest at a rate if I compounded m times a year, then the amount of...

Discrete Mathematics With Applications

In Problems 1732 use the procedures developed in this chapter to find the general solution of each differential...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Ten weeks of data on the Commodity Futures Index are 7.35, 7.40, 7.55, 7.56, 7.60, 7.52, 7.52, 7.70, 7.62, and ...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Constant of Proportionality If g(t)=16t, then g is proportional to t. What is the constant of proportional?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Using the symbolic representations p:It is expensive. q:It is undesirable. express the following in words. a. p...

Mathematics: A Practical Odyssey

Vacation Hours Earned by Blue-Collar and Service Employees. The U.S. Bureau of Labor Statistics (BLS) reported ...

Essentials Of Statistics For Business & Economics

For the following exercises, solve the logarithmic equation exactly, if possible. 285. log5x=2

Calculus Volume 1