### Home > CAAC > Chapter 7 > Lesson 7.2.3 > Problem7-75

7-75.

Find the slope of the line passing through each pair of points below.

• One possible option is to plot the points, make a line connecting them, and make a slope triangle to find the rise over the run.

A second possible way is to subtract the $y$'s and then subtract the $x$'s.

1. $(1,2)$ and $(4,−1)$

$\frac{2-(-1)}{1-4}=\frac{3}{-3}=-1$

The slope of part (a) is $−1$

1. $(7,3)$ and $(5,4)$

1. $(−6,8)$ and $(−8,5)$

1. $(55,67)$ and $(50,68)$

1. Azizah got $1$ for the slope of the line through points $(1,2)$ and $(4,−1)$. Explain to her the mistake she made and how to find the slope correctly.

Solve using one of the two methods above, and compare your answer to the slope that Azizah found.