Finding the distance between two points on a coordinate plane

To find the distance between two points on a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and allows us to calculate the distance between any two points (x1, y1) and (x2, y2) on a plane.

The distance formula:
The distance between two points (x1, y1) and (x2, y2) is given by the formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where d represents the distance between the two points.

In this case, we are given the coordinates of point A as (-4, 0) and point B as (9, 0). We can plug these values into the distance formula to find the distance between the two points.

Calculating the distance:
Given:
Point A: (-4, 0)
Point B: (9, 0)

We can substitute the values into the distance formula:

d = √((9 - (-4))^2 + (0 - 0)^2)

Simplifying:

d = √((9 + 4)^2 + 0^2)
d = √(13^2)
d = √169
d = 13

The distance between point A and point B is 13 units.

Conclusion:
Using the distance formula, we calculated that the distance between point A (-4, 0) and point B (9, 0) is 13 units. The distance formula is a useful tool for finding the distance between any two points on a coordinate plane.

If coordinates of a and b are _4 and 9 are respectively