Final answer:
The slope of the line through (-2, 4) and (x, y) for y = x² is m = x² - 4/(x + 2).
Step-by-step explanation:
The slope of a line can be found using the formula m = (y2-y1)/(x2-x1), where (x1, y1) and (x2, y2) are two points on the line.
In this case, the given points are (-2, 4) and (x, y).
Using the formula, we have m = (y - 4)/(x - (-2)) = (y - 4)/(x + 2) = x² - 4/(x + 2).
So, the slope of the line through (-2, 4) and (x, y) is m = x² - 4/(x + 2).