Use substitution to solve the system.
y = 2x+8
-3x+2y = 13

Step-by-step explanation:

Use substitution to solve the system.

y = 2x+8equation1

-3x+2y = 13equation2

sub y into equation 2

-3x+2(2x+8)=13

-3x+4x+16=13

x+16=13

x=13-16

x=-3

sub X into equation 1

y=2x+8

y=2(-3)+8

y= -6+8

y=2

x= -3 y=2

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)