# How do you find the slope-intercept of y - 6 = - 4x?

May 24, 2018

Problem: $y - 6 = - 4 x$

graph{y=-4x -6 [-9.83, 10.17, -7.92, 2.08]}

Answer: $y = - 4 x + 6$

#### Explanation:

$y = m x + b$

So, what you have is $y - 6 = - 4 x$, but to make it in slope-intercept form, it needs to look like $y = m x + b$. $b$ is where the line intercepts $y$, and $m$ is what the angle is.

$y - 6 = - 4 c$

Slope-intercept form is where you have $y$ on one side and $m x + b$ on the other side of the equation (on either side of the equal sign).
So to get $y$ on one sode of the equation alone, you need to get rid of $- 6$. To do so, you add $+ 6$ to each side of the equation and you have $y = - 4 x + 6$.