Answer:
AB = 7
Step-by-step explanation:
The y-coordinate of point A and B is the same.
Therefore, both points lie on the same horizontal line (y = 2).
So determine the distance between them, subtract the x-coordinate of B from the x-coordinate of A:
AB = 4 - -3 = 4 + 3 = 7
However, to calculate the distance between 2 points, regardless if the points are on a horizontal (or vertical) line, you can always use the distance between 2 points formula that is derived from Pythagoras' Theorem, as follows:
let
= point A (4, 2)
let
= point B (-3, 2)
using the distance between two points equation:
![AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![\implies AB=\sqrt{(-3-4)^2+(2-2)^2}](https://tex.z-dn.net/?f=%5Cimplies%20AB%3D%5Csqrt%7B%28-3-4%29%5E2%2B%282-2%29%5E2%7D)
![\implies AB=\sqrt{(-7)^2+(0)^2}](https://tex.z-dn.net/?f=%5Cimplies%20AB%3D%5Csqrt%7B%28-7%29%5E2%2B%280%29%5E2%7D)
![\implies AB=\sqrt{49}](https://tex.z-dn.net/?f=%5Cimplies%20AB%3D%5Csqrt%7B49%7D)
![\implies AB=7](https://tex.z-dn.net/?f=%5Cimplies%20AB%3D7)
*Edited to add a plot diagram*