Solve by Graphing y=-1/4x+3 y=-3/2x-2

$y = - \frac{1}{4} x + 3$ $y = - \frac{3}{2} x - 2$

Combine $x$ and $\frac{1}{4}$ .

$y = - \frac{x}{4} + 3$

$y = - \frac{3}{2} x - 2$

Simplify each term.

Combine $x$ and $\frac{3}{2}$ .

$y = - \frac{x \cdot 3}{2} - 2$

$y = - \frac{x}{4} + 3$

Move $3$ to the left of $x$ .

$y = - \frac{3 x}{2} - 2$

$y = - \frac{x}{4} + 3$

$y = - \frac{3 x}{2} - 2$

$y = - \frac{x}{4} + 3$

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(- 4, 4)$