Vivian L. answered • 11/02/13

Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

KEVIN B.

asked • 11/02/13what is the y- intercept of the equation 5x+2y=5 given on a graph?

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Vivian L. answered • 11/02/13

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Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

Hi Kevin;

I would like to add to Ian and Joshua's answer.

According to Joshua, the procedure to finding the y-intercept is to convert this formula into slope-intercept form. I agree. But I would like to explain the nature of the original formula.

5x+2y=5

This is in standard formula...

Ax+By=C, A>0, B≠0

Joshua converted this from standard to slope-intercept, whereas Ian worked exclusively with the original standard.

Ian S. answered • 11/02/13

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To find the Y-intercept, we must set X equal to 0. Our equation is thus:

5(0) + 2(Y) = 5 => 2(Y) = 5

Dividing each side by 2 we get:

Y = 5/2

This is the intercept.

Thanks for the question. Good luck!

Joshua D. answered • 11/02/13

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Hi Kevin,

I would use slope-intercept form. I always think it's the easiest.

Slope intercept form looks like this y=mx+b

m is your slope and b is your y-intercept (which you're looking for)

So you have to go from 5x+2y=5 and put it into the y=mx+b form.

In other words, solve for y.

Step 1) Subtract 5x from both sides.

5x+2y=5 ----> 2y=5-5x

Step 2) Divide both sides by two (then y will be alone, but remember to divide everything on the other side by two!)

2y=5-5x -----> y= (5-5x) / 2 -------> y=(5/2) - (5/2)x

Step 3) Rewrite it so it's mx+b

(5/2) - (5/2)x ----> -(5/2)x + (5/2)

Remember, you're looking for b (the y-intercept) so it's simply 5/2

Hope this helps and good luck in class.

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