What is the equation of the line perpendicular to y=1/2x+6 that passes through the point (4, 1)?A y=-2x+9B y=-1/2x+3C y=1/2x-1Dy=2x-7
Accepted Solution
A:
Answer:AStep-by-step explanation:Find the slope of the perpendicular line.The slopes are related by the formulam1 * m2 = - 1Since m1 is 1/2, m2 must be -2So far what you have is y = -2x + bFind the y intercept (b).The new line goes through (4,1)x = 4y = 11 = -2(4) + b1 = - 8 + b Β b = 1 + 8b = 9The answer isy = - 2x + 9