What is the distance between (-6, 2) and (8,
10) on a coordinate grid?

2√65

Step-by-step explanation:

The difference in the x-coordinates of the two points is 8-(-6) = 14.

The difference in the y-coordinates of the two points is 10-2 = 8.

These distances can be considered to be the lengths of the legs of a right triangle whose hypotenuse is the line segment between the given points. Then the distance between the points is given by the Pythagorean Theorem as ...

... d = √(14² +8²) = √260 = 2√65 ≈ 16.1245

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.