# What is the equation in point-slope form and slope intercept form of the line given slope -2, (3, 1)?

May 31, 2018

$\left(y - 1\right) = - 2 \left(x - 3\right)$

$y = - 2 x + 7$

#### Explanation:

Point slope form is:

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

$\left(y - 1\right) = - 2 \left(x - 3\right)$

Now convert it to slope intercept form:

$y - 1 = - 2 x + 6$

$y = - 2 x + 7$

graph{y = -2x+7 [-7.38, 12.62, -0.96, 9.04]}