Find the distance between each pair of points.
(-3,0)and(4,0)
This one is easy, notice that both your points are on the x-axis.
So you are just going from -3 to +4 which would be 7 units
in general for two points (x1,y1) and (x2,y2)
the distance between them is
SQRT((x2-x1)^2 + (y2-y1)^2)
To find the distance between two points, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between them.
Let's use this formula to find the distance between (-3, 0) and (4, 0):
1. Identify the coordinates of the two points:
Point 1: (-3, 0)
Point 2: (4, 0)
2. Substitute the coordinates into the distance formula:
d = sqrt((4 - (-3))^2 + (0 - 0)^2)
= sqrt((4 + 3)^2 + 0^2)
= sqrt(7^2 + 0)
= sqrt(49 + 0)
= sqrt(49)
= 7
So, the distance between the points (-3, 0) and (4, 0) is 7 units.