choose the coordinate pair to plot on the coordinate plane so the ratio stays equivalent

1 answer

To ensure that the ratio stays equivalent, we need to find two coordinate pairs that form a line passing through the origin (0,0). This is because any line passing through the origin will have a constant ratio between the x-coordinate and the y-coordinate.

One such coordinate pair is (2,4). The ratio between the x-coordinate and the y-coordinate is 2/4 = 1/2.

Another coordinate pair is (-6,-12). The ratio between the x-coordinate and the y-coordinate is -6/-12 = 1/2.

Both of these coordinate pairs have an equivalent ratio of 1/2, so if we plot them on the coordinate plane, the ratio will stay consistent.