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

The equation to find the slope and intercept would in the end be : $y = - \frac{4}{3} x + 4$ , and $- \frac{4}{3} x$ would be the slope and 4 being the intercept.
The equation for the slope + intercept is $y = m x + b$ , mx being the slope and b being the intercept. We are presented with the equation, $4 x + 3 y = 12$ and we can see that the equation given isn't presented in the slope-intercept form. We first move $4 x$ to the other side by subtracting $4 x$ on both sides, which results in: $3 y = - 4 x + 12$ . 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 $3 y$, we divide 3 on both sides. We are then left with: $y = - \frac{4}{3} x + 3$ as the complete slope-intercept formula.