The following are two attempts to prove the Pythagorean theorem.

Attempt #1

The number of squares on the two shorter sides of the triangle add up to make the number of squares on the longest side of the triangle.
=> c^{2} = a^{2} + b^{2}

Attempt #2

The squares on one short side of the blue triangle is made from two congruent triangles.

The two triangles fit together to make the square on the longest side of the blue triangle - the hypotenuse

Given two points as shown in the diagram below: a: (3,4) b: (-3,1)

Find another two points that allow you to use Pythagorean Theorem to find the distance between the two given points.
point 1 (in second quadrant): (, )
point 2 (in first quadrant): (, )

Q- If you remove the red point in the graph, the slope of the scatter plot that describes the relationship math scores and distance from school will show: