Question

What is the length of the line segment PQ on the coordinate grid?

1) 20 units
2) 30 units
3) 40 units
4) 50 units

Answer 1

I am pretty sure the answer is 30

Answer 2

The length of the line segment PQ on the coordinate grid is 30 unit.

Explanation:

Consider the provided graph.

The coordinate of the point P and Q are (-20,10) and (10,10) respectively.

In order to find the length of the line segment use the distance formula:

`\text{ Distance } = √((x_2 -x_1)^2 + (y_2- y_1)^2)`

Now substitute the respective values in the above formula as shown:

`\text{ Distance } = √((10-(-20))^2 + (10-10)^2)`

`\text{ Distance } = √((10+20)^2 + (0)^2)`

`\text{ Distance } = √((30)^2)`

`\text{ Distance } = 30`

Hence, the length of the line segment PQ on the coordinate grid is 30 unit.