Question

A segment is drawn from the origin to (-4,3). What is the length of the segment?

Answer 1

5 units

Explanation:

We know the origin is at (0,0), so we can use the distance formula to find the length of this segment.

The distance formula is as follows:

`√((x_2-x_1)^2+(y_2-y_1)^2)\\`

Our points are:

1) (0,0)

2) (-4,3)

`√((x_2-x_1)^2+(y_2-y_1)^2)\\`

`√((-4-0)^2+(3-0)^2)\\`

simplify

`√((-4)^2+(3)^2) \\√(16+9)\\ √(25) \\5`

So, the length is 5 units. Hope this helps! :)