Question

Distance between points on a coordinate plane=(y2−y1)2+(x2−x1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ distance between pointson a coordinate plane = ( y 2 − y 1 ) 2 + ( x 2 − x 1 ) 2 Find the distance when y2=8, y1=4, x2=6, y 2 = 8 , y 1 = 4 , x 2 = 6 , and x1=7 x 1 = 7 . A. 4.12 B. 6.95 C. 5.66 D. 3.87

Answer 1

Answer:

A. 4.12

Step-by-step explanation:

Given the formula for calculating the distance between two points expressed as D = $\sqrt{(y_2-y_1)^{2} + x_2-x_1)^{2} }$

Given the points y₂ = 8, y₁ = 4, x₂ = 6 and x₁ = 7, to determine the distance we will substitute this values into the given formula as shown;

$D = \sqrt{(8-4)^{2} + (6-7)^{2} }\\\\D = \sqrt{(4)^{2} + (-1)^{2} }\\\\D = \sqrt{16 + 1 }\\\\\\\\D = \sqrt{17} }\\\\D = 4.12$