Slope intercept form through (6, 2), perpendicular to 2x - y =4

Question

Tthrough (6, 2), perpendicular 2x - y =4

Answer 1

2x- y = 4

y = 2x-4

perpendicular slope = negative inverse of 2, which is -1/2. Just change the sign and flip the number upside down 2 = 2/1 negative inverse is -1/2

y= -(1/2)x + b, to solve for b, the y intercept, plug in the point (6,2)

2 = (-1/2)(6) + b

b = 2+3 = 5

y= (-1/2)x + 5 is the perpendicular line through the given point in slope intercept form