(-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: Determine the vertical side length by finding the difference between the y-coordinates of the two points: 3 - 1 = 2 units
Step 2: Determine the horizontal side length by finding the difference between the x-coordinates of the two points: 4 - (-2) = 6 units
Step 3: Use the Pythagorean Theorem to find the diagonal length: 6² + 2² = c²
Step 4: Calculate 6² = 36 and 2² = 4
Step 5: Add 36 and 4 to get c²: 36 + 4 = 40
Step 6: Take the square root of 40 to find the length of the diagonal: √40 ≈ 6.3 units
Step 7: Therefore, the distance between the points (-2, 1) and (4, 3) is approximately 6.3 units.