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Chapter 13: Q. 12 (page 532)

Find the slope and length of AB.

A(3, -1), B(5, -7)

Short Answer

Expert verified

The slope of the line is -3 and the length of the line is210 units.

Step by step solution

01

Step-1 – Given

The given pointsare A(3, -1) and B(5, -7).

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 pointsx1,y1andx2,y2:

m=y2鈭�y1x2鈭�x1

The given points are A(3, -1) and B(5, -7).

m=鈭�7鈭�鈭�15鈭�3=鈭�62=鈭�3

Length of the lineAB炉:

x2鈭�x12+y2鈭�y12=5鈭�32+鈭�7鈭�鈭�12=210

So, the slope of the line is -3 and the length of the line is210 units.


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Most popular questions from this chapter

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

  1. (5, 4) and (1, -2)

a. List twelve points, each with integer coordinates, that are 5 units from (-8, 1).

b. Find an equation of the circle containing these points.

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)

A line intersects the x- axis at a 45掳 angle.

What is its stope?

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

(6, -6); (-6, -6)
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