A line containing the points $(2, 16)$ and $(-8, -4)$ intersects the $y$-axis at what point?
We use the given points to write an equation in slope intercept form. Using the slope formula, the slope is 2. We now have y=2x+b. We can plug in either point into the equation to determine b. We plug in (2, 16).
Since b represents the y intercept, then the point intersecting the y axis is (0, 12).