Question

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3)

Answer 1

If it is perpendicular, then you know the slopes of the two lines are opposite reciprocals. Since the slope of the first line is 2, the slope of the second line is the opposite reciprocal, or -1/2.

You have a point and a slope, so you can use point slope form to find the equation of the line.



Where m is your slope and the (x1,y1) is the given point.