Question 68706
When the graph intersect an axis, the coordinate of the intersection is called an intercept. If the graph intersect y axis, it is called y-intercept and the point of intersection is (0,y). If the graph intersect x axis, it is called x-intercept and the point of intersection is (x, 0). 

To graph the equation 2x + 3y = 6 
Substitute 0 for y to find the x-intercept.
2x + (0) = 6
2x = 6 
x = 3 >>>> point is located (3,0)

<br> Substitute 0 for x to find the y-intercept.
2(0) + 3y = 6
3y = 6
y = 2  >>>>>this point is located (0, 2)

Two points determine a line. Using that two points, you can graph the equation now.

<br>The graph looks like this
<br> {{{graph (200, 200, -4, 5, -4, 5, (-2/3)x+2)}}}