How do you find the distance and midpoint between two points in the coordinate plane?
d = √(x2-x1)^2 + (y2-y1)^2
m = ((x1+x2)/2,(y1+y2)/2)
a web search (or a look at your text) will provide many examples
Thank you so much for the help
To find the distance between two points in the coordinate plane, you can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
To find the midpoint between two points, you can use the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Again, where (x1, y1) and (x2, y2) are the coordinates of the two points.
To find the distance between two points in the coordinate plane, you can use the Distance Formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Here's a step-by-step guide on how to find the distance between two points:
1. Identify the coordinates of the two points. Let's call them (x₁, y₁) and (x₂, y₂).
2. Subtract x₁ from x₂ and square the result: (x₂ - x₁)².
3. Subtract y₁ from y₂ and square the result: (y₂ - y₁)².
4. Add the two squared results: (x₂ - x₁)² + (y₂ - y₁)².
5. Take the square root of the sum to get the distance between the two points: √((x₂ - x₁)² + (y₂ - y₁)²).
To find the midpoint between two points, you can use the Midpoint Formula. The formula is:
Midpoint = ((x₁ + x₂) / 2 , (y₁ + y₂) / 2)
Here are the steps to find the midpoint:
1. Identify the coordinates of the two points. Again, let's call them (x₁, y₁) and (x₂, y₂).
2. Add the x-coordinates of the two points and divide the sum by 2: (x₁ + x₂) / 2.
3. Add the y-coordinates of the two points and divide the sum by 2: (y₁ + y₂) / 2.
4. The resulting coordinates give you the midpoint of the line segment: ((x₁ + x₂) / 2, (y₁ + y₂) / 2).
By following these formulas and steps, you can easily find the distance and midpoint between two points in the coordinate plane.