Step-by-step explanation:
the slope intercept form in general is
y = ax + b
a is the slope, b is the y-intercept (when x=0).
we have already the slope. with that it looks like
y = 5/2 × x + b = 5x/2 + b
and b we get by using the circuses of the given point as x and y :
-8 = 5×-6/2 + b = 5×-3 + b = -15 + b
7 = b
so, all in all, the line equation is
y = 5x/2 + 7
