# What is the equation in point-slope form and slope intercept form for the line given (5-2),m=3?

Mar 9, 2018

(1) Point - slope form $y + 2 = 3 \cdot \left(x - 5\right)$

(2) slope intercept form $y = 3 x - 17$

#### Explanation:

Point - slope form y - y_1 = m (x - x_1

Slope - intercept form $y = m x + c$

Given $\left({x}_{1} = 5\right) , \left({y}_{1} = - 2\right)$

(1) Point - slope form $y + 2 = 3 \cdot \left(x - 5\right)$

(2) slope intercept form $y = 3 x - 15 - 2 = 3 x - 17$