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 [tex](x_1,y_1)[/tex] = point A (4, 2)
let [tex](x_2,y_2)[/tex] = point B (-3, 2)
using the distance between two points equation:
[tex]AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\implies AB=\sqrt{(-3-4)^2+(2-2)^2}[/tex]
[tex]\implies AB=\sqrt{(-7)^2+(0)^2}[/tex]
[tex]\implies AB=\sqrt{49}[/tex]
[tex]\implies AB=7[/tex]
*Edited to add a plot diagram*
