Answer
the y intercept is (0,3)
Work Step by Step
Our equation that we are trying to find the y-intercept of is:
2x+5y=15
The question asks to find the y intercept. We know that in the y-intercept, the x-coodinate is always zero because that is the only way the point will lie on the y-axis. So we can substitute 0 for x in the equation and solve for y.
2(0)+5y=15
0+5y=15
5y=15
Now divide both sides of the equation by 5.
y=3
So now that we know the x coordinate of the y-intercept and the y coordinate of the y-intercept, we know our ordered pair which is:
(0,3)
