# What is the slope of the line passing through the following points: (-3, 1) , (4, -1) ?

Jan 23, 2016

The formula for slope is m = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$, where m represents slope.

#### Explanation:

m = $\frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

m = $\frac{- 1 - 1}{4 - \left(- 3\right)}$

m = $- \frac{2}{7}$

Your slope is $- \frac{2}{7}$.

Exercises:

1. Find the slope of the following line segment: graph{y = -1/2x + 3 [-10, 10, -5, 5]}

2. Find the slope of the line passing through the following points:

a) (2, -8) and (-3,4)

b) (-3,-5) and (6, 2)

1. Find the slopes of the following lines:

a) y - 2 = 3(x + 5)

b) y = 3x + 6

c) 5x - 3y = -8

Good luck!