the Points A and B are two points on the cartesian coordinate system.
To find their distances apart, they are considered as the vertices of a right angled triangle and their distance will then the length of the hypothenuse. Given mathematically as:
[tex]\text{Distance, D = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}^{}[/tex]where we can then regard (3,4) as point 2 and (-3,-4) as point 1.
[tex]\begin{gathered} \text{Distance, D = }\sqrt[]{(4_{}-(-4)_{})^2+(3_{}-(-3)_{})^2}^{} \\ \text{Distance, D = }\sqrt[]{(8_{})^2+(6_{})^2}^{} \\ \text{Distance, D = }\sqrt[]{64^{}+36^{}} \\ \text{Distance, D = }\sqrt[]{100}=10 \end{gathered}[/tex]Therefore, the distance between the points is 10 units.
