What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work.

Question

y = 2x + 17
y = 1/2x + 8
y = -2x - 7
y = -1/2x + 2

Answer 1

perpendicular means the slopes are negative-reciprocals
... so the slope of the new line is the negative-reciprocal of 2 ... -1/2

using point-slope ... y - 5 = -1/2 (x + 6) ... y = -1/2 x + 2

Answer 2

thank you!

Answer 3

y = 2x + 17