what s the distance between point a -1 3) and point b -7 3

Answer 1

To find the distance between two points \( A(-1, 3) \) and \( B(-7, 3) \) in a 2D coordinate system, you can use the distance formula:

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

In this case:

• \( (x_1, y_1) = (-1, 3) \)
• \( (x_2, y_2) = (-7, 3) \)

Now plug in the values:

\[ d = \sqrt{(-7 - (-1))^2 + (3 - 3)^2} \] \[ = \sqrt{(-7 + 1)^2 + (0)^2} \] \[ = \sqrt{(-6)^2} \] \[ = \sqrt{36} \] \[ = 6 \]

Therefore, the distance between points A and B is \( 6 \) units.