Final answer:
The equation in slope-intercept form of the line that passes through the points (0, -4) and (0, 2) cannot be found because the slope is undefined.
Step-by-step explanation:
The equation in slope-intercept form of the line that passes through the points (0, -4) and (0, 2) can be found using the formula y = mx + b, where m is the slope and b is the y-intercept.
We can calculate the slope using the formula (y2 - y1) / (x2 - x1), using the given points (0, -4) and (0, 2). Since both x-coordinates are the same, the denominator of the formula is 0, which means the slope is undefined.
Since the slope-intercept form requires a defined slope, we cannot use the slope-intercept form to represent the line passing through these points.