Question

Determine the distance between the two points (1, -3) and (-4, 3) plotted on the graph below.

Answer 1

`d =\sqrt{61`

Explanation:

Given

`(x_1,y_1) = (1,-3)`

`(x_2,y_2) = (-4,3)`

Required: The distance.

This is calculated as

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

So:

`d =\sqrt{(1 - -4)^2 + (-3 - 3)^2`

`d =\sqrt{61`