Find the equation of the line shown

y = 1/2x

Step-by-step explanation:

pass (0,0) and (10,5)

y intercept (b) = 0

slope (m) = (5-0) / (10-0) = 5/10 =1/2

equation y = mx + b

y = 1/2x

are you an artist's daughter? cuz dang you a fine piece of art, girl.

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)