Question

The points M(-10, 3) and P(-4,-8) are graphed on the coordinate plane. To the nearest

tenth of a unit, what is the distance between points Mand P? Round to the nearest
tenth.

Answer 1

Given:

The two points are M(-10, 3) and P(-4,-8).

To find:

The distance between the points M and P.

Solution:

Distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Using the distance formula, the distance between the given points is

`MP=√((-4-(-10))^2+(-8-3)^2)`

`MP=√((-4+10)^2+(-11)^2)`

`MP=√((6)^2+(-11)^2)`

`MP=√(36+121)`

On further simplification, we get

`MP=√(157)`

`MP=12.529964`

`MP\approx 12.5`

Therefore, the distance between the given points M and P is 12.5 units.