How many solutions does the system of equations have? A) No solution

B) One solution: x = 0, y = 0

C) One solution: x = 1, y = 5

D) Infinite many solutions

no solution

Step-by-step explanation:

a solution would mean a point where the two lines cross. theres no such thing for parallel lines.

but if the lines are the same, they are parallel and cross everywhere, that would give infinite solutions.

if they would cross once, it would mean one solution

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)

the ordered pairs for the given function are of the form