the line passes through the point (3,-8) and ,(-7,1)
slope = (1+8)/(-7 - 3) = - 9/10
using (3,-8) ....
y+8 = (-9/10)(x-3)
times 10
10y + 80 = -9(x-3)
10y + 80 = -9x + 27
9x + 10y = -53
or, changing to y-intercept slope form ...
y = (-9/10)x - 53/10