# How do you find the slope and y-intercept for the graph of the equation: 4x - 2y = 24?

Jul 28, 2016

Slope of $4 x - 2 y = 24$ is $2$ and intercept on $y$-axis is $- 12$.

#### Explanation:

The slope intercept form of equation of line is $y = m x + c$, where $m$ is the slope of line and $c$ is its intercept on $y$-axis.

Hence to find slope and intercept on $y$-axis, one needs to solve the equation for $y$.

As equation is $4 x - 2 y = 24$

$- 2 y = - 4 x + 24$ and hence

$y = \frac{- 4}{- 2} x + \frac{24}{- 2}$

or $y = 2 x - 12$

Hence slope of $4 x - 2 y = 24$ is $2$ and intercept on $y$-axis is $- 12$.

graph{4x-2y=24 [-18.67, 21.33, -14.88, 5.12]}