Question

What is the distance, in coordinate units, between (6,4) and (8, 10) in the standard (x, y) coordinate plane?

A. 18
B. 32
C. 740
D. 2
E. 8

Answer 1

The distance between the points (6, 4) and (8, 10) in the standard (x, y) coordinate plane is 2√10 units.

Step-by-step explanation:

To find the distance between two points in the standard (x, y) coordinate plane, we can use the distance formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, the coordinates of the first point are (6, 4) and the coordinates of the second point are (8, 10).

Substituting the values into the formula, we get:

Distance = √[(8 - 6)² + (10 - 4)²] = √[2² + 6²] = √[4 + 36] = √40 = 2√10

Therefore, the distance between the two points is 2√10 units.