Answer:
Step-by-step explanation:
METHOD 1:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the coordinates of the given points (-4, 6) and (9, 6):
[tex]d=\sqrt{(9-(-4))^2+(6-6)^2}=\sqrt{(9+4)^2+0^2}=\sqrt{13^2}=13[/tex]
METHOD 2:
We can see that the second coordinates of the points (ordinate) are the same. Therefore, they lie on a horizontal line. The distance between them is the distance between the x coordinates (abscissa).
The formula of a distance between two numbers:
[tex]d=|b-a|[/tex]
We have
[tex]a=-4,\ b=9[/tex]
Substitute:
[tex]d=|9-(-4)|=|9+4|=|13|=13[/tex]
