Question

What is the distance between (-1,4) and (2,0)

Answer 1

Answer: 5

The Distance between the coordinates of two points is measured by distance formula.

Explanation:

The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by

Distance PQ=
`\sqrt{}`(x2-x1)²+(y2-y1)²

So, the distance between (-1,4 ) and (2,0) can be calculated by

Distance=
`\sqrt{}`(2-(-1))²+(0-4)²

=
`\sqrt{}`(3)²+(-4)²

=
`\sqrt{}`9+16 =
`\sqrt{}`25 as
`\sqrt{}`25 = 5

Distance = 5

So the distance between the two coordinates is 5.