Question

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

Answer 1

Answer:

13

Step-by-step explanation:

METHOD 1:

The formula of a distance between two points:

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

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

$d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13$

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:

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