The equaton of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
From the information given,
m = - 4
To find c, the y intercept, we would substitute m = - 4, x = 0 and y = 8 into the slope intercept equation. It becomes
8 = - 4 * 0 + c
8 = 0 + c
c = 8
By substituting m = - 4 and c = 8 into the slope intercept equation, the equation of the line would be
y = - 4x + 8