It is required to find the equation of the line with a slope = -4
And passes through (5 , -12)
The general form of the line is y = mx + b
Where m is the slope and b is a constant represents y-intercept
So, given the slope = -4
m = -4
y = -4x + b
To find b , substitute with the point ( 5 ,-12)
when x = 5 , y = -12
so,
-12 = -4 * 5 + b
solve to find b:
-12 = -20 + b
b = -12 + 20 = 8
So, y = -4x + 8
the answer is option d. y = -4x + 8
