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

The distance between the two points is approximately 4.12.

Step-by-step explanation:

The formula for finding the distance between two points on a coordinate plane is:

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

Using the values given in the question, where y2 = 8, y1 = 4, x2 = 6, and x1 = 7, we can plug in these values into the formula and calculate the distance:

distance = sqrt((8 - 4)^2 + (6 - 7)^2)

distance = sqrt(4^2 + (-1)^2)

distance = sqrt(16 + 1)

distance = sqrt(17)

distance ≈ 4.12