SOLUTION: 2x-5y=0 Find the x and y intercepts and then graph, I do not know how to graph (0,0)which way do I draw the line

Algebra ->  Linear-equations -> SOLUTION: 2x-5y=0 Find the x and y intercepts and then graph, I do not know how to graph (0,0)which way do I draw the line      Log On


   

Question 163876: 2x-5y=0 Find the x and y intercepts and then graph, I do not know how to graph (0,0)which way do I draw the line
Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, in this case the x and y intercepts don't help because they're the same point (0,0).
Re-arrange your equation.
2x-5y=0
-5y=-2x
y=%282x%29%2F5
.
.
.
Pick two points (one positive, one negative) and use those to plot.
I'll pick x=5 and x=-5.
y=%282x%29%2F5
y=%282%285%29%29%2F5
y=2
(5,2)
.
.
.
y=%282x%29%2F5
y=%282%28-5%29%29%2F5
y=-2
(-5,-2)
.
.
.
Now plot these two points and the line that connects them.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Put in the form y+=+mx+%2B+b, where m= slope
and b= y-intercept
2x+-+5y+=+0
Add 5y to both sides
5y+=+2x
Divide both sides by 5
y+=+%282%2F5%29%2Ax
Since b+=+0, the y-intercept is (0,0)
If I make x+=+0, then y+=+0, so
the x-intercept is (0,0) also
These 2 pieces of information just mean that
the line goes through the origin.
Now pick any x, say
x+=+10 and solve for y
y+=+%282%2F5%29%2A10
y+=+4
Now you have 2 points (0,0) and (10,4)
Since any 2 points determine a line, you
can draw the graph