Determine the intercepts of the line.

Do not round your answers.
3x+2y=5

To find the x-intercept, we set y=0 and solve for x:

3x + 2(0) = 5
3x = 5
x = 5/3

So the x-intercept is (5/3, 0).

To find the y-intercept, we set x=0 and solve for y:

3(0) + 2y = 5
2y = 5
y = 5/2

So the y-intercept is (0, 5/2).