What is the distance between the points (-6, 2) and (2,4)
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the points:
( -6, 2 )
( 2, 4 )
x1 = -6
x2 = 2
y1 = 2
y2 = 4
Determine the distance between two points.
Formula for the distance between two points.
d=√((x2-x1)²+(y2-y1)²)
Solution:
In order to determine the distance between two points, we simply need to substitute the values of x1, y1, x2, and y2 to the equation.
d=√((x2-x1)²+(y2-y1)²)
d=√((2 - (-6) )²+(4 - 2)²)
d=√((2 + 6) )²+(2)²)
d=√((8)²+(2)²)
d=√(64+4)
d=√68
d = 8.25
Final answer:
The distance between the two points is 6.25 units.