Question

What is the distance between (1,7) and (9,1)

Answer 1

10

Explanation:

Given two points we can use the distance formula to calculate the distance between the two points.

Formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Where the x and y values are derived from the given points.

we are given the points (1,7) and (9,1)

To find the distance we plug in the x and y values of the points into the formula

`d=√((9-1)^2+(1-7)^2) \\9-1=8\\1-7=-6\\d=√(8^2+(-6)^2) \\8^2=64\\-6^2=36\\d=√(64+36) \\64+36=100\\√(100) =10\\d=10`

So we can conclude that the distance between the points (1,7) and (9,1) is 10 units