Intermediate Algebra: Connecting Concepts through Application

Slope: $-\frac{3}{2}$ $y$-intercept: $(0,3)$
Rearrange the equation into slope-intercept form. $3x+2y=6$ $2y=-3x+6$ $y=-\frac{3}{2}x+3$ The slope is the coefficient of $x$, and the constant term that is added is the $y$ value in the $y$-intercept of $(0,y)$. Slope: $-\frac{3}{2}$ $y$-intercept: $(0,3)$ The student was incorrect. The student did not put the equation into slope-intercept form first.