# How do you determine the equation of the line that passes through the points (-5,7) and (6,15)?

Feb 24, 2018

$y = \frac{8}{11} x + \frac{117}{11}$

#### Explanation:

First, work out the gradient by finding $\frac{\partial y}{\partial x}$,

$m = \frac{15 - 7}{6 + 5} = \frac{8}{11}$

Then plug in the original values for one point,

$15 = \frac{8}{11} \left(6\right) + c$

$c = \frac{117}{11}$

Therefore,

$y = \frac{8}{11} x + \frac{117}{11}$