# What is the slope intercept form of the line with a slope of -9/4  and y-intercept of  -1/3 ?

Mar 28, 2018

$y = \frac{9}{4} x - \frac{1}{3}$

#### Explanation:

The general equation of a line is given by: $y - {y}_{1} = m \left(x - {x}_{1}\right)$, where $m$ is the gradient and $\left({x}_{1} , {y}_{1}\right)$ are coordinates of a point.

$x = 0$ at the $y$-intercept,

$y - - \frac{1}{3} = - \frac{9}{4} \left(x - 0\right)$

Expand,

$y + \frac{1}{3} = \frac{9}{4} x$

Subtract $\frac{1}{3}$ from both sides,

$y = \frac{9}{4} x - \frac{1}{3}$