Explain how to determine whether two known pairs of points are on the same line.

Sample response: Use the slope formula three times: once for the first pair of points, then for the second pair of points, then for one point from each pair. If all three slopes are the same, then all the points lie on the same line.

Which did you include in your response:

Use the slope formula three times.
If the slopes of both pairs are equal, then the lines may be parallel.
If all three slopes are equal, including the slope using one point from each pair, then all the points coincide on the same line.

jayilych4real jayilych4real · Answer 2 · 2022-01-11T15:10:36+01:00

The way in which a person can accurately determine whether two known pairs of points are on the same line is:

The use of the slope formula three different times.

One of the ways through which a person can accurately determine whether two known points are on the same line when using a linear graph is to make use of the slope formula.

With this in mind, we can see that this slope formula is used to find the different pair of points on the graph to check if they all lie on the same line.

In conclusion, we can come to the determination that:

The lines are likely parallel if the slopes on the two pairs are equal
If the slopes are all equal, then all the points meet on the same line.