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. (6 points) select one: a. y = −0.5x − 5.5 b. y = −0.5x + 5.5 c. y = 2x + 13 incorrect d. 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