Note: Enter your answer and show all the steps that you use to solve this problem in the space provide
Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7, -7).
The distance formula is a mathematical equation used to find the distance between two points, given their coordinates in a coordinate plane. It is derived from the Pythagorean theorem and uses the difference between the x-coordinates and the y-coordinates of the two points.
The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where d represents the distance, (x1, y1) are the coordinates of the first point, and (x2, y2) are the coordinates of the second point.
To calculate the distance between point A(1, 1) and point B(7, -7), we substitute the given coordinates into the distance formula.
Let's plug in the values:
d = √((7 - 1)^2 + (-7 - 1)^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √(100)
= 10
Therefore, the distance between point A(1, 1) and point B(7, -7) is 10 units.