Answer:
Distance between points K and L = 9 units
Distance between points M and N = √1282 or approximately 35.805 units
Explanation:
We can find the distance, d, between a pair of points using the distance formula, which is
, where (x1, y1) are set of points, and (x2, y2) are another set.
Distance between K and L:
We can allow K (5, 0) to be our (x1, y1) point and L (-4, 0) to be our (x2, y2) point. Now we can plug in the points into the distance formula:

Thus, the distance between points K and L is 9 units
- If you were to use graphing paper, you would see that the points both lie on the x-axis and you counting the ticks between the two points would show that they are 9 units apart
Distance between M and N:
Now, can allow M (-21, -29) to be our (x1, y1) point and N (0, 0) to be our (x2, y2) point. Now we can plug in the points into the distance formula:

sqrt (1282) is the exact distance between the two points, while 35.805 is the approximate distance between the two points to the nearest thousandth
- On graphing paper, the points would look about 35 units apart, but the distance formula allows us to be more exact since 35^2 is 1225 and this is 57 less than 1282