Answer:
y = -4x - 28
Explanation:
You want to put the equation in the form y = mx + b where m is the slope and b is the y-intercept (For example - the equation y = 2x - 3 would have a slope of 2 and a y-intercept of -3)
Since you have that the slope is -4, the equation so far is y = -4x + b
To find what b is, you know that (-5, -8) is a solution so you can plug x = -5 and y = -8 into your equation:
-8 = -4 * -5 + b
-8 = 20 + b
subtract 20 from both sides
-28 = b
So the equation is y = -4x - 28