((Please help asap! Giving brainliest)) Write an equation of a line perpendicular to line CD below in slope-intercept form that passes through the point (−1, 6).
Line CD is shown. C is at 1, 1. D is at 3, 5.

Select one:

a. y = −0.5x − 5.5

b. y = −0.5x + 5.5

c. y = 2x + 13

d. y = 2x − 13

b. y = −0.5x + 5.5

Step-by-step explanation:

Well first we need to find the slope of line CD.

To do that we'll use the following formula,

We'll use the points (1,1) and (3,5)

So y2 is 5 y1 is 1 so 5-1 = 4

3-1 = 2

Slope = 2x

If the slope of line CD is 2x we can cross out choices C and D.

Two lines that are perpendicular to each other have reciprocal slopes,

meaning is the slope of line CD is 2 then its perpendicular lines slope should be -.5.

If the perpendicular line goes through point (-1,6), the y intercept would be, 5.5.

Look at the image below ↓

Thus,

the answer is option b. y = −0.5x + 5.5.

Hope this helps :)

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