Question

on a coordinate plane, polye M is located at (–5, 1) and point N is located at (-5, 8).What is the distance, in units, between point M and point N? Enter the answer in the box.units

Answer 1

Given the points:

Point M = (x1, y1) = (-5, 1)

Point N = (x2, y2) = (-5, 8)

To find the distance between point M and point N, use the distance formula below:

`d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2_{}}`

Where

x1 = -5

y1 = 1

x2 = -5

y2 = 8

Substitute values into the formula and evaluate.

We have:

`\begin{gathered} d=\sqrt[]{(-5-(-5))^2+(8-1)^2} \\ \\ d=\sqrt[]{(-5+5)^2+(8-1)^2} \\ \\ d=\sqrt[]{(0)^2+(7)^2} \\ \\ d=\sqrt[]{0+49} \\ \\ d=\sqrt[]{49} \\ \\ d=7 \end{gathered}`

Therefore the distance between point M and point N is 7 units.

ANSWER:

7 units