Two vertices of a right triangle are located at (1, 3) and (2, 5) .
select each ordered pair that could be the coordinates of the third vertex.
a. (3, 5)
b. (1, 5)
c. (2, 3)
d. (3, 3)

the answer is 5/3x+7/5y+7

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)