You can put this solution on YOUR website! -2y=3x-15 now divide all terms by -2 to obtain the standard equation for a line.
y=3x/-2-15/-2
y=-3x/2+15/2
this line has a slope(m)=-3/2 & a y intercept (b)=15/2.
the graph follows as the proof: (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -3x/2 +15/2).
You can put this solution on YOUR website! Given:
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-2y = 3x - 15
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You can easily find the slope and the y-axis intercept if you can get the given equation
in the form:
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y = mx + b
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In this form the slope is "m" and the y-axis intercept is "b"
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To get the given equation into slope intercept form, you need to solve for +y. In this case
the left side will become +y if you divide all terms on both sides of the given equation
by -2. The process is as follows:
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-2y = 3x - 15 <--- given equation
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(-2y/-2) = (3x/-2) - (15/-2) <--- shows division of all terms by -2
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y = -(3/2)x - (-15/2) <--- notice that - (-15/2) = + 15/2
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y = -(3/2)x + (15/2) <--- given equation in slope intercept form
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By comparing this equation with the slope intercept form, you can see that "m" (the
multiplier of the "x") is -3/2 and "b" the y-axis intercept is +15/2. That's the answer
to the problem. As an aid to seeing that this is correct, here's a graph of the original
equation in the problem:
.
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Notice that the slope is negative and the value of y where the graph crosses the y-axis is
about +7.5 or +15/2.
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Hope this helps you to understand the problem a little more.
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