Use an equation to find the value of k so that the line that passes through (-2, k) and (2,0) has a slope of m=-1

The value of k is 4.

Step-by-step explanation:

To find the missing coordinate, we can use the slope equation and plug in all known values.

m (slope) = (y2 - y1) / (x2 - x1)

-1 = (k - 0) / (-2 - 2)

-1 = k/-4

Now we can solve using cross multiplication.

-1 = k/-4

k*1 = - 1*-4

k = 4