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Chapter 13: Q. 13 (page 532)

Find the slope and length of AB.

A(-3, -2), B(7, -6)

Short Answer

Expert verified

The slope of the line is鈭�0.4 and the length of the line is 241units.

Step by step solution

01

Step-1 – Given

The given pointsare A(-3, -2) and B(7, -6).

02

Step-2 – To determine

We have to find the slope and the length of the line AB炉.

03

Step-3 – Calculation 

We will use the slope formula with two pointsx1,y1andx2,y2:

m=y2鈭�y1x2鈭�x1

The given points are A(-3, -2) and B(7, -6).

m=鈭�6鈭�鈭�27鈭�鈭�3=鈭�410=鈭�0.4

Length of the line AB炉:

x2鈭�x12+y2鈭�y12=7鈭�鈭�32+鈭�6鈭�鈭�22=241

So, the slope of the line is鈭�0.4 and the length of the line is 241units.

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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)

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

(6, -6); (4, 3)

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)

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Name cach line in the figure whose slope is:

a. positive

b. negative

c. zero

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