Question

A line that includes the points (-7,-3) and (k,-7) has a slope of -4.what is the value of k?

Answer 1

Step-by-step explanation:

The formula for the slope of a line that contains points (x1, y1) and (x2, y2) is:

`m=(\Delta y)/(\Delta x)=(y_1-y_2)/(x_1-x_2)`

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:

`\begin{gathered} -4=\frac{-7_{}-(-3)}{k_{}-(-7)} \\ -4=(-4)/(k+7) \\ k+7=1 \\ k=1-7 \\ k=-6 \end{gathered}`

Answer:

k = -6