How do you graph using slope and intercept of - 5x + y =05x+y=0?

1 Answer
Dec 21, 2015

You have to move some things around in the equation to put it into slope-intercept form, then you can graph it.

Explanation:

-5x+y=05x+y=0

Slope intercept form is: y=mx+by=mx+b

First, you need to get the yy alone on the left side of the equation.
-5x+y=05x+y=0
-5x+y+5x=0+5x5x+y+5x=0+5x
y=0+5xy=0+5x

Now, the equation is almost correct and ready to be graphed, but for it to be technically correct, the place of the 00 and the 5x5x need to be switched.
y=5x+0y=5x+0

So, you know that the y-intercept is 00, which means that it is at the point (0,0)(0,0)
Plot a point at (0,0)(0,0)

Then, since you have a slope of 55, that means you have a rise, or change in the yy value, of +5+5, and a run, or change in the xx value, of +1+1

Starting at point (0,0)(0,0), plot at point five up, and one to the right. So, that point would be at (1,5)(1,5). Then, from (1,5)(1,5), go up five, and to the right one, so you'll be at point (2,10)(2,10). Then, draw a line through your points.