Write an equation of a line perpendicular to line CD 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. y = −0.5x − 5.5 y = −0.5x + 5.5 y = 2x + 13 y = 2x − 13

The first thing we must do for this case is to find the equation of the line for CD.

We have then:

Where,

Substituting values:

We choose an ordered pair:

Substituting values:

Rewriting:

Then, we look for the equation of the line perpendicular to CD.

We have an equation of the form:

As the lines are perpendicular:

Then, as the line passes through the point (-1, 6) then substituting, we can find the value of b:

Then, the equation of the line is:

b. y = -0.5x + 5.5

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step-by-step explanation: