Find the distance between points (-1,-4) and (2,2)

Mathematics · High School · Tue Nov 03 2020

Answered on

In order to find the distance between two point the formula used is:

 PQ=√((x2−x1)^2+(y2−y1)^2)

or PQ=√((∆x)^2+(∆y)^2)

∆ is read as delta, or “change in” depending on its corresponding variable

Given points (-1,-4) and (2,2),

where x1 = -1, x2 = 2, y1 = -4, y2 = 2

PQ=√((2-(-1))^2+(2-(-4)^2)

PQ=√((2+1)^2+(2+4)^2)

PQ=√((3)^2+(6)^2)

PQ=√(9+36)

PQ=√(45)

The distance between two points is √45 or 6.71