Question

Albert drew the line represented by this equation on a coordinate plane.

y=-1/2x+ 5
On the same coordinate plane, Penny drew a line that is
perpendicular to Albert's line and passes through the point
(-4,3). Which of the following equations represents Penny's
line?
O A. Y=2x + 5
O B. Y=2x +11
O C. y= -2x - 5
O d. y= -2x – 11

Answer 1

y = 2x + 11

Explanation:

The equation of a line in point slope form is y-y0 = m(x-x0)

m is the slope

(x0, y0) is any point on the line

Given the line y= -1/2x + 5

Slope = -1/2

Slope of the line perpendicular = -1/(-1/2) = 2

Substitute (-4,3) and m = 2 into the formula

y - 3 = 2(x-(-4))

y - 3 = 2(x+4)

y - 3 = 2x + 8

y = 2x + 8 + 3

y = 2x + 11

This gives the required equation