Question

Which of the following could be the equation of the graph shown below?
Please explain!
[IMG]http://i60.tinypic.com/2hp3toh.jpg[/IMG]

Answer 1

\[A. y=-4x+2\]
This means the graph has a gradient of -4 and also passes the y axis through +2
For the shown graph it does both the above things. It is a negative line and also passes the y-axis at 2. so TRUE

\[B. 3x+2y=6\]
\[2y=-3x+6\]
\[y=\frac{ -3x }{ 2 }+3\] Make y the subject of the equation (i.e solved for y)
This means the graph has a gradients of -3/2 and also passes the y axis at +3. For the shown graph it does both the above things. so TRUE

\[c. y=5\]
What this means is a horizontal line drawn where y=5. which is not the case for our given graph. so False

\[D. 2x-y=7\]
\[-y=-2x+7\]
\[y=2x-7\]
This means the graph is a positive graph with a gradient of 2 passing through y=-7 which is not our case.

so A and B

Answer 2

Thank you so much for explaining!