# How do you write an equation of a line with points (-7,-3), (-3,5)?

Apr 15, 2017

$y = 2 x + 11$

#### Explanation:

Put the equation in the $y = m x + b$ form .

Find the slope of the equation by solving for

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

Substituting the points for y and x gives

m = (-3 -5)/( -7 - (-3) = $- \frac{8}{-} 4 = 2$

The slope: $m = 2$

Putting $2$ in for $m$ and the values for $\left(x , y\right)$ gives

$5 = 2 \left(- 3\right) + b$ This results

# 5 = -6 + b add six to both sides

$5 + 6 = - 6 + 6 + b$

$11 = b$

So the equation is $y = 2 x + 11$