To find the distance between the points (13, 9) and (11, 2) on a coordinate grid, we can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is given by: d = √((x2 – x1)² + (y2 – y1)²) where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we have:
- (x1, y1) = (13, 9)
- (x2, y2) = (11, 2)
Now, we can plug in the values:
d = √((11 – 13)² + (2 – 9)²)
Calculating the differences:
- (11 – 13) = -2
- (2 – 9) = -7
Now substituting these values back into the formula:
d = √((-2)² + (-7)²)
Now, squaring the differences:
- (-2)² = 4
- (-7)² = 49
So now we have:
d = √(4 + 49)
d = √53
Thus, the distance between the points (13, 9) and (11, 2) is √53, which is approximately 7.28 units.