Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set - Page 433: 64

Slope $m=\frac{3}{2}$

The slope-intercept form equation of a straight line is $y=mx+b$ where $m$ is the slope. To find the slope of the line $3x-2y=12$, we rearrange the equation in the form $y=mx+b$: $3x-2y=12$ $-2y=-3x+12$ $2y=3x-12$ $y=\frac{3x-12}{2}$ $y=\frac{3x}{2}-\frac{12}{2}$ $y=\frac{3x}{2}-6$ Comparing this equation with $y=mx+b$, we find that $m=\frac{3}{2}$.