Answer:
The distance between points A and B is 13
Step-by-step explanation:
We need to find distance between points A and B
Looking at the graph,
Point A : (2,6) and Point B: (-3,-6)
We need to find the distance between these points.
The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]
We have Points A : (2,6) and B: (-3,-6)
So, [tex]x_1=2, y_1=6, x_2=-3, y_2=-6[/tex]
Putting values in formula and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\Distance=\sqrt{(-3-2)^2+(-6-6)^2} \\Distance=\sqrt{(-5)^2+(-12)^2} \\Distance=\sqrt{25+144} \\Distance =\sqrt{169}\\Distance = 13[/tex]
So, the distance between points A and B is 13