Question

I need help figuring this out. I don’t understand how to find the distance.

Answer 1

To determine the distance between two points in the cartesian plane, we use the Pythagorean theorem to calculate it from the coordinates of them, as follows:

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

To solve it we will substitute the given values, as follows:

`d=\sqrt[]{(2(1)/(5)-2(1)/(5))^2+(-3(1)/(4)-(-6(3)/(4)))^2}`
`d=\sqrt[]{(0)^2+(6(3)/(4)-3(1)/(4))^2}`
`d=\sqrt[]{((6-3)((3-1))/(4))^2}`
`d=\sqrt[]{(3(2)/(4))^2}`
`d=3(2)/(4)`

If we simplify the fraction, we find the following:

`d=3(1)/(2)`