# What is the slope intercept form of the line passing through (3,-12)  with a slope of 5/4 ?

Aug 28, 2017

The equation of line in slope intercept form is $y = \frac{5}{4} x - \frac{63}{4}$

#### Explanation:

Let the equation of line in slope intercept form is $y = m x + b$

where $m$ is slope and $b$ is $y$ intercept.

Then the equation of line with a slope of $m = \frac{5}{4}$ is

$y = \frac{5}{4} x + b$ . Since the point $\left(3 , - 12\right)$ is on the line , it

will satisfy the equation. $- 12 = \frac{5}{4} \cdot 3 + b \mathmr{and} b = - 12 - \frac{15}{4}$

or $b = - \frac{63}{4}$

Hence the equation of line in slope intercept form is

$y = \frac{5}{4} x - \frac{63}{4}$ [Ans]