Question

A.Yes, since the slopes are the same and the y-intercepts are the same.

B.No, since the y-intercepts are different.
C.Yes, since the slopes are the same and the y-intercepts are different.
D.No, since the slopes are different.

Answer 1

C

Explanation:

one line is

y = 3x/7 + 11

its slope is 3/7

the y-intercept is, of course, when x=0. there y=11

the other is

-3x + 7y = 13

7y = 3x + 13

y = 3x/7 + 13/7

its slope is 3/7 (the same as the other line)

the y-intercept (x=0) is y = 13/7 (different to the other line)

Answer 2

C. Yes, since the slopes are the same and the y-intercepts are different.

Explanation:

`y=(3)/(7) x+11` and
`-3x+7y=13`

→ Rearrange the second equation to make y the subject

7y = 3x + 13

→ Divide everything by 7

`y=(3)/(7) x+(13)/(7)`