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Chapter 13: Q. 24 (page 533)

A line with slope鈭�52 passes through points (7, -4) and (?, 6).

Short Answer

Expert verified

A line with slope鈭�52 passes through points7,鈭�4and3,6

Step by step solution

01

Step-1 – Given

A line with slope鈭�52 passes through points7,鈭�4and?,6

02

Step-2 – To determine

We have tofind the unknownx coordinate of the given point.

03

Step-3 – Calculation 

The slope formula for two pointsx1,y1andx2,y2is:

m=y2鈭�y1x2鈭�x1

The given points are7,鈭�4and?,6.

Let = the unknown x coordinate

So,

m=y2鈭�y1x2鈭�x1m=y2鈭�y1x2鈭�x1鈭�52=6鈭�鈭�4x2鈭�7鈭�52=10x2鈭�7鈭�5x2鈭�7=20鈭�5x2+35=20鈭�5x2=鈭�15x2=3

Hence, the unknownx coordinate is 3.

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Most popular questions from this chapter

Use the distance formula to find the distance between the two points.

  1. (12, -1) and (0, -6)

a. Show that tan鈭燗 = slope of AC.

b. Use trigonometry to find m鈭燗.

Tell whether each expression is positive or negative for the line shown:

a.鈥夆赌�y2鈭�y1b.鈥夆赌�x2鈭�x1c.鈥夆赌�y2鈭�y1x2鈭�x1

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear?

If so, which point lies between the other two?

13. A(0, 3), B(-2, 1), C(3, 6)

Find the center and radius of each circle.

x+a2+y鈭�b2=c2
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