A line that includes the points 0 k and -6 3 has a slope of 1. What is the value of k?

Slope = (change in y)/change in x

so

(3 - k)/(-6 - 0) = (3 - k)/-6 = 1

3 - k = -6

3 = k - 6

3 + 6 = k

k = 9

so the points are (0,9) and (-6,3)

The actual formula of the line could be written as

y = x + 9