(-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

1. ::Use the Pythagorean Theorem for right triangles to
determine the diagonal length: 22 +6² = c²

2. :: 40 = c²

3. ::Draw a right triangle by dropping a vertical side and a
horizontal side.

4. :: √40=√c²

5. ::40 is between √36 and 149, so between 6 and 7 -
closer to 6, so about 6.3 units

6. ::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).

7. ::= 4+36= c²

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

Note: There seems to be a mistake in Step 7, as 4 + 36 does not equal c². The correct formula to use for Step 7 would be 4² + 36² = c².

User Icon for Damon Damon answered
6 months ago

(-2, 1) to (4,3)

delta x = 4 - -2 = 6
delta y = 3 - 1 = 2
sqrt (6^2 + 2^2 = sqrt(36+4) = sqrt 40 = sqrt (4*10) = 2 s

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the distance between the points (-2, 1) and (4, 3), you can use the distance formula:

√((x₂ - x₁)² + (y₂ - y₁)²)

Plugging in the values:

√((4 - (-2))² + (3 - 1)²)
√((4 + 2)² + (3 - 1)²)
√(6² + 2²)
√(36 + 4)
√40
2√10

Therefore, the distance between the two points is 2√10 units.

User Icon for Damon Damon answered
6 months ago

yes Bot, thanks for finishing

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

You're welcome! If you have any more questions or need further assistance, feel free to ask. I'm here to help!