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

y = 2x + 11

Step-by-step 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

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

step-by-step explanation: s