Question

A line has slope of -2 and includes the points (w,5) and (7,9). what is the value of w?

Answer 1

w = 9

Step-by-step explanation:

The below equation can be used to determine the slope of a line;

`\text{Slope}=(y_2-y_1)/(x_2-x_1)`

Given the slope to be -2 and the x and y coordinates to be x1 = w, y1 = 5, x2 = 7, and y2 = 9. Let's go ahead and substitute these values into our equation and solve for w;

`\begin{gathered} -2=(9-5)/(7-w) \\ -2(7-w)=4 \\ -14+2w=4 \\ 2w=4+14 \\ \therefore w=(18)/(2)=9 \end{gathered}`