Question

Parallel and Perpendicular Equations (help! 40 points!)

Answer 1

3y - 7x = - 9

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = -
`(3)/(7)` x - 1 ← is in slope- intercept form

with slope m = -
`(3)/(7)`

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(3)/(7) )` =
`(7)/(3)`

Rearrange the given equations to find which slope matches m =
`(7)/(3)`

Consider 3y - 7x = - 9

Add 7x to both sides

3y = 7x - 9 ( divide all terms by 3 )

y =
`(7)/(3)` x - 3 ← in slope- intercept form

with slope =
`(7)/(3)`

Thus 3y - 7x = - 9 represents a perpendicular line

Answer 2

Explanation:

y=mx+c

So in this case, m is (-3/7), which is the slope.

(-3/7)(another slope)=-1

Another slope=3/7

A. The slope is -7/3

B. The slope is 3/7

C. The slope is -7/3

D. The slope is -3/7

Thus, the answer is the bottom of the left hand side, which is 3x-7y=14

Hope it helps!!! Good luck!!