Answer:
w = 9
Explanation:
The below equation can be used to determine the slope of a line;
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]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;
[tex]\begin{gathered} -2=\frac{9-5}{7-w} \\ -2(7-w)=4 \\ -14+2w=4 \\ 2w=4+14 \\ \therefore w=\frac{18}{2}=9 \end{gathered}[/tex]