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

User Konstantin Labun
by
3.0k points

1 Answer

10 votes
10 votes

Answer:

w = -12

Step-by-step 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}} \\ =(-3-w)/(15-6) \end{gathered}

Since the slope is 1, we have that:


\begin{gathered} (-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.

User Ononononon
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2.6k points