Question

A

B
-6
Find the distance, d, of AB.
A = (-7, 9) B = (-5, 3)
-4 -2
10
8
6
4
2
d = √x2-x1² + y2 - Y₁|²
d = [?]
Round to the nearest tenth.
Distance
Enter

Answer 1

The distance between the two points A (-7, 9) and B (-5, 3) rounded to the nearest tenth is 6.3 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance =
`√((x_2-x_1)^2 + (y_2-y_1)^2)`

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points (-8, 3) and (-2, -5) into the distance formula, we have the following;

`Distance = √((x_2-x_1)^2 + (y_2-y_1)^2)\\\\Distance \;AB= √((-5-(-7))^2 + (3-9)^2)\\\\Distance\;AB = √((-5+ 7)^2 + (3-9)^2)\\\\Distance\;AB = √((2)^2 + (-6)^2)\\\\Distance\;AB = √(4 + 36)\\\\Distance\;AB = √(40)`

Distance = 6.3246 ≈ 6.3 units.