given the linear function graphed below, find the slope of a line that is parallel to it.

Explanation:

Step1: Identify two points on the line

Choose $(x_1,y_1)=(-10,0)$ and $(x_2,y_2)=(0,9)$

Step2: Calculate slope using formula

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ $$m=\frac{9-0}{0-(-10)}=\frac{9}{10}$$

Step3: Parallel lines have equal slopes

Parallel lines share the same slope.

Answer:

$\frac{9}{10}$