Line m has the equation y = 3x + 5. Line n has the equation y = kx - 7. Lines m and n intersect at the point (-4, -7). What is the value of k?

If they intersect at a certain point (the solution), we can say that when plugging in the coordinate values, the two 'y' s in the equations will come up the same.

y = 3x + 5

y = 3(-4) + 5 = -7

y = k(-4) - 7 = -7

-4k - 7 = -7

-4k = 0

k = 0

:)