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

1. marigirl

$A. y=-4x+2$ 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

2. marigirl

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3. anonymous

Thank you so much for explaining!