Write the quadratic equation in factored form. be sure to write the entire equation.

Glad they didn't have online homework when I was in school; what a pain to type this way.

We need two numbers that multiply to -24 and add to -5; it doesn't take too long to come up with -8 and 3.

That's the answer.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)