To determine the vertical translation between the equations \( y = 5x + 2 \) and \( y = -7x \), we should identify the y-intercepts of both lines, since vertical translation is indicated by the difference in y-values at the x-value where the equations intersect.
The line \( y = -7x \) has a y-intercept of 0 (it crosses the y-axis at (0, 0)). The line \( y = 5x + 2 \) has a y-intercept of 2 (it crosses the y-axis at (0, 2)).
The vertical translation from \( y = -7x \) to \( y = 5x + 2 \) is 2 units above the equation \( y = -7x \) (since 2 is greater than 0).
So, the answer is:
2 points above the equation \( y = -7x \).