Question

line v passes through points (9, 9) and (4, 5). line w is parallel to line v. what is the slope of line w?
simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

The slope between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\frac{y_2-y_1}{x_2-x_1}$.

Step2: Plug in points for line v

Substitute $(x_1,y_1)=(9,9)$ and $(x_2,y_2)=(4,5)$:
$\text{Slope of } v = \frac{5-9}{4-9} = \frac{-4}{-5} = \frac{4}{5}$

Step3: Use parallel line slope rule

Parallel lines have equal slopes, so slope of w = slope of v.

Answer:

$\frac{4}{5}$