# What is the point-slope form of the line that passes through (8,12) and (2,7)?

##### 1 Answer
Dec 21, 2016

$y - 12 = \frac{5}{6} \left(x - 8\right)$

#### Explanation:

Point slope form of a line that passes through $\left(8 , 12\right)$ and $\left(2 , 7\right)$.

First, find the slope using the slope formula.

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{7 - 12}{2 - 8} - - \frac{5}{-} 6 = \frac{5}{6}$

Next, use the point-slope formula. You may choose either point as $\left({x}_{1} , {y}_{1}\right)$. I will choose the first point.

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - 12 = \frac{5}{6} \left(x - 8\right)$