If you drive 9 miles south then make a left turn and drive 12 miles east how far are you in a straight line from your starting point?

Q: A small radio transmitter broadcasts in a 21 mile radius. If you drive along a straight line from a…

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Q: If (-1,-3) is the end point of a line segment, and (-2,-8) is its midpoint, find the other endpoint.

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Q: The midpoint of the line segment from P1 to P2 is( - 1, 4.)If P1 = (- 3, 6), what is P2?

A: The line segment is a part of a line. The midpoint of the line segment with end points is the point…

Q: A small radio transmitter broadcasts in a 26 mile radius. If you drive along a straight line from a…

A: In this question we have to find how much of the drive will you pick up a signal from the…

Q: A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a…

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Q: Find |22z ds, where C is the line segment from (0,6,2) to (-3,12,7).

A: Given  ∫Cx2z ds, where C is the line segment from 0,6,2 to -3,12,7 To do  Find ∫Cx2z ds

Q: Complete the equation of the line through (1,4) and (2,2)

A: Given : To determine the equation of the line through (1,4) and (2,2)

Q: Calculate the slope of the line that has these two coodinates (-9,-6) and (-4,-10).

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Q: Find the equation of the line passing through the point (4, -5) and perpendicular to the line x+5.

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Q: The midpoint of the line segment from P1 to P2 is (-2,8). If P1 = (-9,7), what is P2.

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Q: ) What point clo sest on the line 32C -4=. to (-2,3) ?

A: Rewrite the equation for the line in slope-intercept form: y=3x-4The slope of this line is m = 3.A…

Q: Determine the equation of a line through (6,-1) and perpendicular to the line 4x – 5y-6=0.

A: Given line is 4x-5y-6=0. Its slope is m1=-4(-5)=45

Q: Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

A: Given

Q: Find the equation of the line that is parallel to y = -x + 9 and contains the point (7,-13). y = [ ?…

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Q: Find the midpoint of the line segment from (1,1) to (-3,-4) Write your answer as an ordered pair.…

A: Find the midpoint of line segment

Q: Find the midpoint of the line segment with endpoints at A(8, –4) and B(-2,–4)

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Q: Write an equation of a line containing (2, -3) and perpendicular to 3x + 4y =14.

A: Given 3x-4y=14slope of the line=dydxdydx=ddx1414-3x=14ddx(14-3x)=14(-3)

Q: Which equation represents a line through (3, 5) that is perpendicular to y = 2x – 5

A: Let's find equation of line.

Q: . Find the equation of the line through the point (4, -2) and perpendicular to 6x - 7y = 12. Leave…

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Q: The midpoint of the line segment from P1 to P2 is (-6,2). If P1= (-6,8), What is P2?

A: Given That: The midpoint of the line segment from P1 to P2 is (-6,2). If P1= (-6,8)

Q: The distance between A(7,5) and B(-3,-1) is

A: The distance between two is computed as follows, Note: The distance between two points x1,y1  and…

Q: Not sure how to do this.

A: Recall the given fact.

Q: Find the equation of the line perpendicular to = 5 through the point (7, – 9) -

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Q: Find the equation of the line through the points (4/3,0) and (7,1)( Write your answer in the form…

A: Consider the given two points (4/3, 0) and (7, 1).The general equation of the line is y = mx + b. If…

Q: Write the equation of a line that is perpendicular to x = 3 and that passes through the point…

A: Given point =(0,-4)

Q: Write the equation of the line passing through (4, 1) that is perpendicular to  3x − 8y = 9.

A: Using equation of tangent line formula. Condition of perpendicular lines.

Q: Find the distance from the point (5,-3) to the line 7x - 4y - 28 = 0

A: As we know that; The expression for the distance from the given point Px0,y0 to the line…

Q: determine the equation of the line passing though the points (3,4) and (6,10)

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Q: Write the equation of the line containing the following: slope 2/3 and passing through the point…

A: We have to form an equation of line that has Slope=23 and passes through the point 6,5

Q: Write the equation of the line passing through (3,-17) parallel to 8x – 7y = 8°

A: Equation of straight line intercept slope form is y=mx+c. slope is parallel to 8x-7y=87

Q: What is the equation of the line that passes through the point (1,3)(1,3) and is perpendicular to…

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Q: Find the distance from (-2,-1) to (3,2)

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Q: Find the equation of the line through the points (12, – 9) and (18, – 10). -

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Q: Find the point on the line 0 + 7y - 5 =0 which is closest to the point (5, -4). || Answer is

A: Definition used –  Minima using derivative –  For finding the minimum value of function f(x), First,…

Q: Find the equation of the straight line which bisects perpendicularly the line segment joining the…

A: To find the equation of straight line which bisects perpendicularly the line segment joining the two…

Q: Write the equation of the line containing (1, 2) and perpendicular to the line x + y = 6.

A: The given equation of line is: x+y=6 That can be written as: y=-x+6  Comparing it with y=mx+c where…

Q: Find the slope of the line joining (-9, 3) and (2, -4). O 1/11 O -7/11 O 1 -7

A: Given :                  Find the slope of line joining  (-9,3) and (2,-4)

Q: Write the equation of the line through (4, 9) and perpendicular to  y = 0.5x + 10. Please show…

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Q: Find the equation of the line through the points (6/5, 7) and (6,−1). Write your answer in the form…

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Q: Give the equation of the line passing through the points (-3 , 11/5) and (-3, 2)

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Q: Find the distance between 10 and y = -3 -5

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Q: What is the line of the equation that passes through the points (0,-4) and (6,2)

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Q: What is the other endpoint of a line segment when given the endpoint (-3,-2) and the midpoint (1,-3)

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Q: Use the diagram showing two parallel lines and a transversal.

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Q: Find the slope of the line that passes through points (1, -5) and (-2, 1) * O 4 O 1/4 O -1/2

A: The slope of a line is given by:

Q: Find the slope of a line satisfying the following conditions Vertical through (7,-8)

A: Consider a line which passes vertically through the point (7,-8). We have to find the slope of this…

Q: Find the equation of the line going through the points (1,-2) and (3.5, 6).

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Q: Which point is farther from the origin, (3, -1, 2) or (0, 0, -4)?

A: We have to say which point is farther from the origin: 3, -1, 2 or 0, 0, -4. Distance of any point…

Q: Do the points (4, 3),(2, 0), and (-18, -12) lie on the same line? Explain why or why not.

A: We will solve the following

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.