Question

Using PT in the Coordinate System

Answer 1

Answer:

The distance between the two points is $\sqrt{26}$

Step-by-step explanation:

The formula of the distance between two points (x1, y1) and (x2, y2) is

d = $\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$

∵ The points are (-1, 3) and (4, 2)

∴ x1 = -1 and x2 = 4

∴ y1 = 3 and y2 = 2

→ Substitute them in the formula of the distance above

∵ d = $\sqrt{(4--1)^{2}+(2-3)^{2}}$

∴ d = $\sqrt{(4+1)^{2}+(-1)^{2}}$

∴ d = $\sqrt{(5)^{2}+1}$

∴ d = $\sqrt{25+1}$

∴ d = $\sqrt{26}$

∴ The distance between the two points is $\sqrt{26}$