(-2, 1)
(4,3)
Put the steps in order to find the distance between these 2 points.
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
Step 7
::Use the Pythagorean Theorem for right triangles to
determine the diagonal length: 22 +6² = c²
:: 40 = c²
::Draw a right triangle by dropping a vertical side and a
horizontal side.
:: √40=√c²
::40 is between √36 and 149, so between 6 and 7 -
closer to 6, so about 6.3 units
::Determine the vertical side (2 units) and horizontal side
(6 units) lengths by counting on the grid (be careful of
the scale), or using the vertical coordinates (3 to 1) and
horizontal coordinates (-2 to 4).
::= 4+36= c²
Step 1: Write down the coordinates of the two points: Point A (-2, 1) and Point B (4, 3)
Step 2: Determine the horizontal distance by subtracting the x-coordinates of the two points: 4 - (-2) = 6 units
Step 3: Determine the vertical distance by subtracting the y-coordinates of the two points: 3 - 1 = 2 units
Step 4: Use the Pythagorean Theorem to find the diagonal distance (c) between the two points: c² = 6² + 2²
Step 5: Simplify the equation: c² = 36 + 4 = 40
Step 6: Find the square root of 40: √40 ≈ 6.3 units
Step 7: Therefore, the distance between point A and point B is approximately 6.3 units.