Question

Find Distance between 2 Points

[ - 2, 3]

(- 7, - 9)

Apply the Pythagorean theorem to find the distance between the two points shown on the graph


11

12

13

14

Answer 1

First, we need to find the difference between the x-coordinates and the y-coordinates of the two points:

x1 = -2
x2 = -7
y1 = 3
y2 = -9

Δx = x2 - x1 = -7 - (-2) = -5
Δy = y2 - y1 = -9 - 3 = -12

Next, we use the Pythagorean theorem to find the distance between the two points:

distance = √(Δx^2 + Δy^2)
distance = √((-5)^2 + (-12)^2)
distance = √(25 + 144)
distance = √169
distance = 13

Therefore, the distance between the two points is 13.