Question

the equation of line g is y = $\frac{-7}{6}$x + 8. line h is parallel to line g. what is the slope of line h? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope - parallel line property

Parallel lines have equal slopes.

Step2: Identify slope of line g

The equation of line g is in slope - intercept form $y = mx + b$, where $m$ is the slope. For $y=\frac{-7}{6}x + 8$, the slope of line g is $m_g=-\frac{7}{6}$.

Step3: Determine slope of line h

Since line h is parallel to line g, $m_h=m_g$. So the slope of line h is $-\frac{7}{6}$.

Answer:

$-\frac{7}{6}$