Question

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

Answer 1

Problem: `y-6=-4x`

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

Answer: `y=-4x+6`

Explanation:

`y = mx + b`

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

`y-6=-4c`

Slope-intercept form is where you have `y` on one side and `mx+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=-4x+6`.