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Determine the slope and y-intercept of the graph of 2y-8x=7 show work please and thank you!

User Yedidyak
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2 Answers

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Converting it to slope intercept form is the easiest way. Slope intercept is y=mx+b, so thatś what you have to fix. Add 8x to both sides to cancel it out from 2y-8x. This leaves us with 2y=8x+7, but slope intercept requires the y to have no number attached (Technically, 1 is attached). So since 2y is basically 2(y), divide two from both sides to cancel it out from y. 2y/2 is just y. 8x/2 is 4x, and 7/2 can be kept a 7/2 or 3.5. The remaining answer is y=4x+3.5 or y=4x+7/2.
User Stumbler
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The slope intercept form of a line is y=mx+b where m is the slope and b is the y-intercept...so solve for y...

2y-8x=7

2y=8x+7

y=4x+3.5

so the slope is 4 and the y-intercept is 3.5