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Chapter 13: Q. 14 (page 532)

Find the slope and length of AB.

14. A(8, -7), B(-3, -5)

Short Answer

Expert verified

The slope of the line is鈭�0.18 and the length of the line is55 units.

Step by step solution

01

Step-1 – Given

The given pointsare A(8, -7) and B(-3, -5).

02

Step-2 – To determine

We have to find the slope and the length of the lineAB炉 .

03

Step-3 – Calculation 

We will use the slope formula with two points x1,y1andx2,y2:

m=y2鈭�y1x2鈭�x1

The given points are A(8, -7) and B(-3, -5).

m=鈭�5鈭�鈭�7鈭�3鈭�8=2鈭�11=鈭�0.18

Length of the lineAB炉:

x2鈭�x12+y2鈭�y12=鈭�5鈭�鈭�72+鈭�3鈭�82=125=55

So, the slope of the line is鈭�0.18 and the length of the line is 55units.

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Most popular questions from this chapter

In Exercises 27-32 find and then compare lengths of segments.

Triangles JAN and RFK have vertices J(-2, -2), A(4, -2), M(2, 2), R(8, 1), F(S, 4), and K(6, 3). Show that triangle JAN is similar to triangle RFK.

Find the distance between the two points. If necessary, you may draw graphs but you shouldn鈥檛 need to use the distance formula.

  1. (3, 3) and (-2, 3)

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(1, 2); (-2, 5)

Find the slope of the line.

11. Find the center and the radius of each circle.

a. (x-2)2+y2=1

b. (x+2)2+(y-8)2=16

c. x2+(y+5)2=112

d. (x+3)2+(y+7)2=14
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