Explanation:
The formula for the slope of a line that contains points (x1, y1) and (x2, y2) is:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_1-y_2}{x_1-x_2}[/tex]If we have points (-7, -3) and (k, -7) and the slope is -4, we can replace this into the expression above and solve for k:
[tex]\begin{gathered} -4=\frac{-7_{}-(-3)}{k_{}-(-7)} \\ -4=\frac{-4}{k+7} \\ k+7=1 \\ k=1-7 \\ k=-6 \end{gathered}[/tex]Answer:
k = -6
