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

Jun 28, 2016

Slope intercept form of the line is $y = \left(- \frac{5}{4}\right) x - \frac{1}{4}$

#### Explanation:

Slope intercept form of a line is written as $y = m x + c$

Given $m = \left(- \frac{5}{4}\right)$ and line is passing through $\left(3 , - 4\right)$, the point $\left(3 , - 4\right)$ must satisfy the following slope equation $y = \left(- \frac{5}{4}\right) x + c$

$- 4 = \left(- \frac{5}{4} \cdot 3\right) + c$

$c = - 4 + \frac{15}{4}$

$c = - \frac{1}{4}$

Slope intercept form of the line is $y = \left(- \frac{5}{4}\right) x - \frac{1}{4}$