Question

How do you find the slope and intercept to graph `4x + 3y = 12`?

Answer 1

The equation to find the slope and intercept would in the end be : `y=-4/3x+4` , and `-4/3x` would be the slope and 4 being the intercept.

Explanation:

The equation for the slope + intercept is `y=mx+b` , mx being the slope and b being the intercept. We are presented with the equation, `4x+3y=12` and we can see that the equation given isn't presented in the slope-intercept form. We first move `4x` to the other side by subtracting `4x` on both sides, which results in: `3y=-4x+12` . However, the slope-intercept form has a single y, and not a variable/number next to it. In order to get rid of the 3 in `3y`, we divide 3 on both sides. We are then left with: `y=-4/3x+3` as the complete slope-intercept formula.