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PIT_PIT [208]
3 years ago
14

Sketch the graph of each line. 2x-5y=25

Mathematics
1 answer:
ki77a [65]3 years ago
3 0
Well, you transform the standard form equation into slope-intercept form (y=mx+b), since you can only graph it using this form.

First of all, the layout of the equation is Ax+By=C

So, in this case, A is 2, B is 5, and C is 25.

Now, to put it into slope intercept form, you either use the formula to change it and solve it:

y= \frac{-A}{B}x+ \frac{C}{B} \\ y= \frac{-2}{-5}x+ \frac{25}{-5} \\  \\ y= \frac{2}{5}x-5

Or you can just solve for y:

2x-5y=25 \\ 2x-5y-2x=25-2x \\ -5y=-2x+25 \\  \frac{-5y}{-5}= \frac{-2x+25}{-5} \\  \\ y= \frac{2}{5}x-5

In addition, I attached what the graph looks like.

Hope this helps!

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