Write the equation of a line in slope-intercept form that passes through the point (2,4) and is perpendicular to the line y=-1/2x+3: *

Question

Write the equation of a line in slope-intercept form that passes through the point (2,4) and is perpendicular to the line y=-1/2x+3

Answer 1

Its slope must be the negative reciprocal of the slope of the given line, so

m = -1/(-1/2) = 2

y = 2x + b

Use the given point to find b.

4 = 2(2) + b

b = 0

y = 2x