Question

Find the x- and y-intercepts of the graph of the equation

Answer 1

How do we find the x-intercept of 3x + 2y = 6?  Set y = 0 and solve the resulting equation for x:

3x + 0 = 6, or x = 2.  The x-intercept is then (0, 2).

y-intercept?  Do the same thing, except set x = 0 and solve for y:

3(0) + 2y = 6, or y = 3.  The y-int is then (0,3).

You will see problems of this type over and over in algebra, so it'd be best that you learn how to do them now.