What is the slope of a line that is perpendicular to the line shown on the graph?
a -4 b -1/4 c 1/4 d.4

D.4

Step-by-step explanation:

First, find the slope of the line given. To do so, plot two points that are located on the line, and use the slope equation to solve for the slope.

Let the two points be:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (0, 2)

The slope formula is: m = (y₂ - y₁)/(x₂ - x₁)

Plug in the corresponding number to the corresponding variables.

m = (2 - 1)/(0 - 4)

m = 1/-4

m = -(1/4)

The slope of the line given is - 1/4. To find the line perpendicular to it, flip the fraction and the sign.

A line with the slope of (-1/4)'s perpendicular line would be (4).

D. 4 is your answer.

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the answer is c. 23/3