2x + 5y = 15
-2x -2x
---------------
5y = 15 - 2x
Write the second term first on the right:
5y = -2x + 15
Divide every number by 5
y = x +
Simplify:
y = x +
y = x + 3
That's the slope-intercept form,
y = mx + b
where the slope is m, which equals , and
the y-coordinate of the y-intercept is b, which equals 3.
That means the y-intercept is the point (0,3).
Edwin