Question

line g passes through points (3, 1) and (9, 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 - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

For line $g$, we have $(x_1,y_1)=(3,1)$ and $(x_2,y_2)=(9,8)$.

Step3: Calculate the slope of line $g$

$m_g=\frac{8 - 1}{9 - 3}=\frac{7}{6}$.

Step4: Use the property of parallel lines

Parallel lines have the same slope. Since line $h$ is parallel to line $g$, $m_h=m_g$.

Answer:

$\frac{7}{6}$