Question

The point has A has coordinates (-4, 6) and point B has coordinates (7, -2)

Calculate the length of the line AB (pls show working)

Answer 1

To find the length of line AB, the distance formula √((x2 - x1)² + (y2 - y1)²) is used, with coordinates substituted. The calculated distance is approximately 13.6 units.

Step-by-step explanation:

To calculate the length of the line AB, we use the distance formula which is derived from the Pythagorean theorem. The formula is:

d = √((x2 - x1)² + (y2 - y1)²)

Here, (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B.

Now, let's substitute the given coordinates into the distance formula:

d = √((7 - (-4))² + (-2 - 6)²)

d = √((7 + 4)² + (-8)²)

d = √(11² + (-8)²)

d = √(121 + 64)

d = √185

d ≈ 13.6

The length of the line AB is approximately 13.6 units.