Question

On the cordinate plane what is the distance between the ponts -4,6 and 9,6

Answer 1

13

Explanation:

METHOD 1:

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute the coordinates of the given points (-4, 6) and (9, 6):

`d=√((9-(-4))^2+(6-6)^2)=√((9+4)^2+0^2)=√(13^2)=13`

METHOD 2:

We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).

The formula of a distance between two numbers:

`d=|b-a|`

We have

`a=-4,\ b=9`

Substitute:

`d=|9-(-4)|=|9+4|=|13|=13`