# What is the slope intercept form of the line passing through (2,-5)  with a slope of -3/2 ?

Apr 9, 2018

$y = - \frac{3}{2} x - 2$

#### Explanation:

Slope-Intercept form of a line: $y = m x + b$ where m represents slope and b the y-intercept

$y = m x + b \rightarrow$ The slope is already given to us as $- \frac{3}{2}$

Our current equation is $y = - \frac{3}{2} x + b \rightarrow$ we do not know the y-intercept

Plug the given point $\left(2 , - 5\right)$ in and solve:

$- 5 = - \frac{3}{2} \cdot 2 + b$

$- 5 = - 3 + b$

$b = - 2$

Our equation is $y = - \frac{3}{2} x - 2$