What is the distance between (-6, 8) and (-3, 9)?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the points:
( 6, -8 )
( -3, 9 )
x1 = 6
x2 = -3
y1 = -8
y2 = 9
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=√((-3 - 6)²+( 9 - (-8))²)
d=√((-9)²+( 9 + 8)²)
d=√((-9)²+( 17)²)
d=√(81 + 289)
d=√370
d = 19.23 units
Final answer:
The distance between two points is 19.23 units.