Passing through (5,-3) perpendicular to Y=1/2x-1

Answer 1

Slope of line perpendicular to y = 1/2 x - 1 is negative reciprocal of 1/2 or -2.

equation of line is y = mx + b, where m is slope and b is y-intercept and x and y are the coordinates of a point that the line passes through.

Given m is -2 for equation of line perpendicular to y = 1/2 x - 1, then plug in given (5,-3) for x and y to solve for b:

-3 = -2(5) + b

-3 = -10 + b

b = 7

y = -2x + 7