Answer:
8
Step-by-step explanation:
Solution #1: Distance Formula
The formula is[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We can make [tex]-10 = x_2[/tex], [tex]-2 = x_1[/tex] , [tex]9=y_2[/tex], [tex]9=y_1[/tex] and plug them in.
So we have, [tex]\sqrt{(-10-(-2))^2+(9-9)^2}[/tex] or, [tex]\sqrt{(-10+2)^2}[/tex] = [tex]\sqrt{(-8)^2} =\sqrt{64} =8[/tex].
Solution #2: Geometry
Both coordinate pairs have a y-coordinate of 9, meaning that they both intersect the line y = 9 (a horizontal line). Meaning, that their distance is the difference between their x-coordinates or 8.
Let me know if you have any questions!
