algebra
posted by Anonymous .
graph the equation and find the yintercept.
2y+5x=6
My question is do I add 5x to both sides first?? how do I start this problem?

When you have an equation with just x and y terms, you're looking at a straight line.
One way to approach is it, as you say, to add 5 to both sides, and then divide across by 2, so that the LHS just contains y on its own. Then you have it in the form y = mx + c, and you can just read off the yintercept as c.
Another way to find the yintercept is to set x=0, and see what you're left with:
2y+5x=6
2y+0 = 6
y=3
So the point (0,3) is on the line, and is the yintercept.
You also want to graph it. Since it's a straight line, you just need two points, then draw the line with a ruler.
Let's get the xintercept as our other point:
2y+5x=6
0+5x=6
x=6/5
So (6/5,0) is tyhe xintercept, and the second point we need for drawing the line. 
Oops, typo. In case you're confused, I meant "One way to approach it is, as you say, to add 5x to both sides..."