Question

The slope of the line that passes through the points (6,w) and (15,-3) is 1. What is the value of w?

Answer 1

Answer:

w = -12

Explanation:

Given the points (6,w) and (15,-3)

$\begin{gathered} \text{Slope}=\frac{Change\text{ in y-ax.is}}{Change\text{ in x-ax.is}} \\ =\frac{-3-w}{15-6} \end{gathered}$

Since the slope is 1, we have that:

$\begin{gathered} \frac{-3-w}{15-6}=1 \\ -3-w=15-6 \\ -3-w=9 \\ w=-3-9 \\ w=-12 \end{gathered}$

The value of w is -12.