Write an equation of the line that passes through (3, 8) and is perpendicular to the line y = 5x - 4

y = -1/5x + 48/5 or y = -1/5x + 8.6

Step-by-step explanation:

Using the equation of line

y - y_1 = m(x - x_1)

First find the slope

y = 5x - 4

Note, if two lines are perpendicular, their slope will be negative reciprocal

Slope = m = -1/5

Using the equation

y -y_1 = m(x - x_1)

With the point ( 3, 8)

x_1 = 3

y_1 = 8

y - 8 = -1/5 ( x - 3)

y - 8 = -1(x -3)/5

Open the bracket

y - 8 =( -x +3 )/ 5

y = (-x +3)/5 + 8

LCM Is 5..

y =( -x +3 + 40)/5

y = (-x + 43)/5

We can still separate

y = -x/5 + 43/5

y = -1/5x + 43/5

y = -1/5x + 8.6

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i

the answer is a if my teacher taught me correct