Answer:
[tex]21.47\ units[/tex]
Step-by-step explanation:
Step 1: Determine where the points lie on the graph
Point #1 is seen to be in the second quadrant. Looking more into where the point lies we can see that it crosses -7 on the x-axis and 6 on the positive y-axis.
Point #2 is seen to be in the fourth quadrant. After viewing the point a bit more we can see that the x-value is 12 and the y-value has been moved down to -4.
Step 2: Determine the distance between the points
[tex]Distance\ formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d =\sqrt{((12)-(-7))^2+((-4)-(6))^2}[/tex]
[tex]d=\sqrt{(12+7)^2+(-4-6)^2}[/tex]
[tex]d=\sqrt{(19)^2+(-10)^2}[/tex]
[tex]d=\sqrt{361+100}[/tex]
[tex]d=\sqrt{461}[/tex]
[tex]d = 21.47[/tex]
Answer: [tex]21.47\ units[/tex]
