Question

What is the distance between the following points?

(-2, 7) (7, 9)

Answer 1

To find the distance between two points in a coordinate plane, we can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the two points are (-2, 7) and (7, 9). Plugging these values into the formula, we get:

Distance = sqrt((7 - (-2))^2 + (9 - 7)^2)
= sqrt((7 + 2)^2 + (9 - 7)^2)
= sqrt(9^2 + 2^2)
= sqrt(81 + 4)
= sqrt(85)

So, the distance between the two points is sqrt(85) units.