Put the steps in order to find the distance between these 2 points. (7 points)
(-2, 1) ———- (4, 3)
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: 2 2 + 6 2 = 2 2 2 +6 2 =c 2 40 = 2 40=c 2 Draw a right triangle by dropping a vertical side and a horizontal side. 40 = 2 40 = c 2 40 40 is between 36 36 and 49 49 , 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 = 2 4+36=c 2
Step 1: 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).
Step 2: Draw a right triangle by dropping a vertical side and a horizontal side.
Step 3: Use the Pythagorean Theorem for right triangles to determine the diagonal length: 2^2 + 6^2 = c^2
Step 4: Solve 2^2 + 6^2 = c^2
Step 5: Simplify to 4 + 36 = c^2
Step 6: Determine that c^2 is between 36 and 49, so between 6 and 7 - closer to 6, so about 6.3 units
Step 7: The distance between the points is approximately 6.3 units.