Question

Find the distance between the points (4, -6) and (7, 3) on a coordinate plane. If necessary, round your answer to the nearest tenth.

Answer 1

Based on the Pythagorean Theorem, you can use the formula,
a^2 + b^2 = c^2, to find the longest side of a right triangle. When you look at the coordinate plane, you see point (4,-6) and (7,3) are the points for the longest side (c). Then the rise and run would be (a) and (b).

The formula is d = √(x2-x1)^2 + (y2-y1)^2
d = √(7-3)^2 + (3-(-6))^2
d = √3^2 + 9^2
d = √9 + 81
d = √ 90
d = 3√10 or 9.49