Question

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

Answer 1

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= (-A)/(B)x+ (C)/(B) \\ y= (-2)/(-5)x+ (25)/(-5) \\ \\ y= (2)/(5)x-5`

Or you can just solve for y:


`2x-5y=25 \\ 2x-5y-2x=25-2x \\ -5y=-2x+25 \\ (-5y)/(-5)= (-2x+25)/(-5) \\ \\ y= (2)/(5)x-5`

In addition, I attached what the graph looks like.

Hope this helps!