Question

A line segment has the endpoints (2,-5)and(-1,-1). What is it’s slope?

A. -6/1
B. -3/4
C. -1/6
D. -4/3

Answer 1

The slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

We have:

`(2,\ -5)\to x_1=2,\ y_1=-5\\(-1,\ -1)\to x_2=-1,\ y_2=-1`

Substitute:

`m=(-1-(-5))/(-1-2)=(-1+5)/(-3)=(4)/(-3)=-(4)/(3)`

Answer: D.