Question

the equation of line $f$ is $y = \frac{-3}{2}x + 9$. line $g$ is parallel to line $f$. what is the slope of line $g$?
simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify slope of line f

Line f is in slope-intercept form $y=mx+b$, where $m$ is slope. For $y=\frac{-3}{2}x + 9$, $m=\frac{-3}{2}$.

Step2: Parallel lines have equal slopes

Since line $g$ is parallel to line $f$, their slopes are identical.

Answer:

$\frac{-3}{2}$