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(-2, 1)
(4, 3)

Put the steps in order to find the distance between these 2 points.

(7 points)
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Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
Step 7

1 answer

To find the distance between the two points (-2, 1) and (4, 3), follow these ordered steps:

Step 1: Identify the coordinates of the two points.

  • Point A: (-2, 1)
  • Point B: (4, 3)

Step 2: Use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Step 3: Assign the coordinates to the formula.

  • \( x_1 = -2 \)
  • \( y_1 = 1 \)
  • \( x_2 = 4 \)
  • \( y_2 = 3 \)

Step 4: Substitute the values into the formula: \[ d = \sqrt{(4 - (-2))^2 + (3 - 1)^2} \]

Step 5: Simplify the differences:

  • \( 4 - (-2) = 4 + 2 = 6 \)
  • \( 3 - 1 = 2 \)

Step 6: Continue simplifying: \[ d = \sqrt{(6)^2 + (2)^2} \] \[ d = \sqrt{36 + 4} \]

Step 7: Calculate the final distance: \[ d = \sqrt{40} = 2\sqrt{10} \]

So, the ordered steps are:

  1. Identify the coordinates of the two points.
  2. Use the distance formula.
  3. Assign the coordinates to the formula.
  4. Substitute the values into the formula.
  5. Simplify the differences.
  6. Continue simplifying.
  7. Calculate the final distance.

You can insert the above steps into your input fields.