Find the distance between (7,0) and
(-7,0)
The y coordinates of the two points are the same, and the difference in x coordinates is 7 - (-7) = 14. What does that tell you about the direction and length of the line connecting the two points?
The fact that the y-coordinates of the two points are the same means that the line connecting the two points is horizontal. The difference in the x-coordinates, which is 14, tells us the length of the line connecting the two points. However, in order to find the distance between the two points, we need to use the distance formula or apply the Pythagorean theorem.
The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Here, the coordinates of the two points are (7, 0) and (-7, 0). Plugging these values into the distance formula, we get:
Distance = √((-7 - 7)^2 + (0 - 0)^2)
= √((-14)^2 + 0^2)
= √(196 + 0)
= √196
= 14
Therefore, the distance between the points (7, 0) and (-7, 0) is 14 units.