Question

(2, 1) , (-1, -3)
Label ->
Formula ->
Subsitute ->
Solve ->​

Answer 1

The distance between points (2, 1) and (-1, -3) is calculated using the distance formula and results in 5 units.

The student's question involves finding the distance between two points in the coordinate plane, which can be calculated using the distance formula. This mathematical concept appears to involve the use of the distance formula: D = √
`((x2 - x1)^2 + (y2 - y1)^2).`

Here is how you apply the formula step by step:

1. Label your points: Point 1 (x1, y1) is (2, 1) and Point 2 (x2, y2) is (-1, -3).
2. Select the formula: D = √
   `((x2 - x1)^2 + (y2 - y1)^2).`
3. Substitute the values into the formula: D = √
   `((-1 - 2)^2 + (-3 - 1)^2).`
4. Solve the equation to find the distance: D = √
   `((3)^2 + (-4)^2)`= √(9 + 16) = √25 = 5.

Therefore, the distance between the points (2, 1) and (-1, -3) is 5 units.