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17 votes
17 votes
Write three equations whose graphs are the same line as the equation x - 9y = 3/4

User Alyoshak
by
3.0k points

1 Answer

19 votes
19 votes

y= 1/9x

y= 1/9x +2/24

y = 1/9x + 3/36

1) To be on the same line, they must share the slope and their points

Let's rewrite that into the standard form

x -9y =3/4

-9y = 3/4 -x

9y = 3/4 +x Divide both sides by 9

y = 1/12 + x/9

y= x/9 + 1/12

2) Since we have the slope 1/9, then we can write the first equation as

y= 1/9x On the same line

y= 1/9x +2/24 2/24 is a multiple of 1/12, therefore on the same line

y = 1/9x + 3/36 3/36 is a multiple of 1/12, therefore on the same line

User Dustfinger
by
3.5k points
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