Given the linear equation y = -4/7x - 5, find the y-coordinates of the points (-7, ), (0, ), and (7, )?

-4/7*(-7) - 5 = +4 - 5 = -1. The first point is (-7, -1).

-4/7*(0) - 5 = -5. The second point is (0, -5).

-4/7*(7) - 5 = -4 - 5 = -9. The third point is (7, -9).

The slope of -4/7 means that for each increase of 7 in x, y will decrease by 4. We see that the points of interest have x increasing by 7 and y decreasing by 4. Here is a plot.