Question

Which equation is the equation of a line that is perpendicular to x + 2y = 16?

Group of answer choices

y=−1/2x+6

y=1/2x−3

y=2x−2

y=−2x+8

Answer 1

y= 2x -2

Explanation:

x + 2y= 16

1.) rearrange the formula in the form y=mx + c

x + 2y = 16(subtract x on both sides)

2y = 16-x(divide by 2 on both side)

y = 8 - x/2

or

y = -x/2 + 8

2.)find gradient,use the formula:

M1 ×M2 = -1

M1 = -1/2

-1/2 × M2 = -1(divide by -1/2 on both side)

M2= 2

so our gradient is 2 and the only equation with the gradient of 2 is

y = 2x -2

Answer 2

y = 2x - 2

Explanation: