The pair of points (−6, y) and (4, 8) lie on a line with a slope of 52. Set up and solve for the missing y-value using the slope formula. Show all work to receive credit.

using the point slope form,

y-8 = 52(x-4)
y = 52x - 200
so that means
y = 52(-6)-200 = -512
check:
(8+512)/(4+6) = 52 ✅