Question

Which is perpendicular to the line y=-3x-8y

Answer 1

3

Explanation:

Find the Slope of a Perpendicular Line

y = −3x − 8y

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Move all terms containing y to the left side of the equation.

9y = −3x

Divide each term by 9 and simplify.

y = −(x/3)

Write in y = mx + b form.

y = -(1/3)x

Using the slope-intercept form, the slope is − (1/3)

m = -(1/3)

The equation of a perpendicular line to y = − (1/3)x must have a slope that is the negative reciprocal of the original slope.

`m`perpendicular =
`-(1)/(-(1)/(3) )`

Simplify the result.

`m`perpendicular = 3

Answer 2

I believe the answer is y = -7/3x

Explanation:

When you rearrange the equation, y = -3x - 8y, you will get -7y = -3x.

We want the equation to be equal to y by itself. So we divide -7 from both sides, giving us the equation y = 3/7x.

The graph that is perpendicular to y = 3/7x is it's reciprocal: y = -7/3x