What is the exact distance from (-1,4) to (6,-2
Mathematics · High School · Sun Jan 24 2021
Answered on
Given the points:
( -1, 4 )
( 6, -2 )
x1 = -1
x2 = 6
y1 = 4
y2 = -2
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 given values of x1, x2, y1 and y2 to the formula.
d=√((x2- x1)²+( y2- y1)²)
d=√((6 - (-1))²+( -2 -4)²)
d=√((7)²+( -6)²)
d=√(49 + 36)
d=√(85)
d = 9.21 units
Final answer:
The distance between two points is 9.21 unit.