What is the slope of the line shown?

By using two arbitrary points on the line, we can find the slope using the slope formula:

We'll use the points (0, 4) and (5, 1) for this.

1 - 4 / 5 - 0

-3 / 5

The slope of the line is -3/5.

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)