Find the distance in unit segments between the points: A) a (-7) and c (-3), B) M (2,3) and N (-4,2).

If there is one coordinate in the points, then it lies on a straight line and the distance between the points will be equal to the modulus of the difference between the two coordinates. Moreover, the distance from point A to point B is equal to the distance from B to A, that is, AB = BA.

If there are two coordinates at the points, then it lies on the plane and in this case the distance between the two points is found by the formula:

AB = √ (xb – xa) ^ 2 + (yb – ya) ^ 2.

A) A (-7) and B (-3).

AB = BA = | – 7 – (- 3) | = | – 7 + 3 | = | – 4 | = 4 units neg.

B) M (2.3) and N (- 4.2)

MN = NM = | 2.3 – (- 4.2) | = | 2.3 + 4.2 | = | – 6.5 | = 6.5 units neg.