What is the y-intercept of the line perpendicular to the line y = three fourthsx + 3 that includes the point (3, 1)? negative five fourths

3

negative thirteen fourths

5

(D)5

Step-by-step explanation:

Given a line:

Comparing with the slope-intercept form y=mx+c

Slope, m

Definition: Two lines are perpendicular if the product of their slopes equals -1.

Therefore, the slope of a line perpendicular to the given line

Therefore, a line that is perpendicular and passes through the point (3,1) is:

Comparing with the slope-intercept from: y=mx+c

The y-intercept of the perpendicular line is therefore 5.

The correct option is D.

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