Linear function options

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BoomSchtick

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Aug 18, 2009
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A linear function is represented by 3x + 6y + 9 = 0

I need to know between these options what represents the same graph (three of them)..

1: x+2y=-3
2: y=1/2x-3/2
3: y=-2x+3
4: Line passing through points (1,-1),(1,1), and (2,3)
5: Line passing through points (-1,-1),(1,-2), and (3,-3)
6: Line passing through points (1,-1),(5,-4), and (7,-5)

So I did an X,Y table like so:

X,Y

-1,1
0,-1.5
1,-2
2,-2.5
3,-3


It looks like #1 has just factored out a 3 so I'm guessing that can represent the same graph.
It looks like #2, by solving for Y does come out to y=-1/2x - 3/2
It looks like #5 has valid points based on the X,Y chart above.

Does that look right to anyone/everyone?
 
BoomSchtick said:
A linear function is represented by 3x + 6y + 9 = 0

I need to know between these options what represents the same graph (three of them)..

1: x+2y=-3
2: y=1/2x-3/2
3: y=-2x+3
4: Line passing through points (1,-1),(1,1), and (2,3)
5: Line passing through points (-1,-1),(1,-2), and (3,-3)
6: Line passing through points (1,-1),(5,-4), and (7,-5)

So I did an X,Y table like so:

X,Y

-1,1
0,-1.5
1,-2
2,-2.5
3,-3


It looks like #1 has just factored out a 3 so I'm guessing that can represent the same graph.
It looks like #2, by solving for Y does come out to y=-1/2x - 3/2<-----It does come out to y = -(1/2)x - (3/2).....but that is NOT what answer choice (2) says
It looks like #5 has valid points based on the X,Y chart above.

Does that look right to anyone/everyone?
Click to expand...

I agree with your first and third answers, but not the second. HINT: try checking the points given for answer choice (6) in the original equation.
 
BoomSchtick said:
A linear function is represented by 3x + 6y + 9 = 0

I need to know between these options what represents the same graph (three of them)..

1: x+2y=-3
2: y=1/2x-3/2
3: y=-2x+3
4: Line passing through points (1,-1),(1,1), and (2,3)
5: Line passing through points (-1,-1),(1,-2), and (3,-3)
6: Line passing through points (1,-1),(5,-4), and (7,-5)

So I did an X,Y table like so:

X,Y

-1,1<<< This does not seem to be correct - should be (-1, -1)
0,-1.5
1,-2
2,-2.5
3,-3


It looks like #1 has just factored out a 3 so I'm guessing that can represent the same graph.
It looks like #2, by solving for Y does come out to y=-1/2x - 3/2
It looks like #5 has valid points based on the X,Y chart above.

Does that look right to anyone/everyone?
Click to expand...
 
Mrspi said:
BoomSchtick said:
A linear function is represented by 3x + 6y + 9 = 0

I need to know between these options what represents the same graph (three of them)..

1: x+2y=-3
2: y=1/2x-3/2
3: y=-2x+3
4: Line passing through points (1,-1),(1,1), and (2,3)
5: Line passing through points (-1,-1),(1,-2), and (3,-3)
6: Line passing through points (1,-1),(5,-4), and (7,-5)

So I did an X,Y table like so:

X,Y

-1,1
0,-1.5
1,-2
2,-2.5
3,-3


It looks like #1 has just factored out a 3 so I'm guessing that can represent the same graph.
It looks like #2, by solving for Y does come out to y=-1/2x - 3/2<-----It does come out to y = -(1/2)x - (3/2).....but that is NOT what answer choice (2) says
It looks like #5 has valid points based on the X,Y chart above.

Does that look right to anyone/everyone?
Click to expand...

I agree with your first and third answers, but not the second. HINT: try checking the points given for answer choice (6) in the original equation.
Click to expand...


That was a typo on my part... #2 should be -(1/2)x - (3/2)... so I think that #2 is in fact the second answer.
 
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