Math Problem Statement
The distance between (3,−4) and (−10,−2) is
Solution
To find the distance between two points and in a coordinate plane, we use the distance formula:
Given the points and , let's substitute these coordinates into the formula.
Step 1: Identify the coordinates
Step 2: Apply the distance formula
Step 3: Simplify the expressions inside the square root
Conclusion
The distance between the points and is:
Would you like more details, or do you have any questions about this solution?
Here are 5 related questions to consider:
- How do you derive the distance formula for two points on a coordinate plane?
- What is the distance between the origin and the point ?
- How do you find the midpoint between two points?
- If a point moves horizontally by 3 units and vertically by 4 units, what is the distance traveled?
- How can you find the distance between a point and a line in the coordinate plane?
Tip: When calculating distances in coordinate geometry, always double-check the signs of your coordinate differences to avoid errors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Distance Formula
Formulas
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Theorems
-
Suitable Grade Level
Grades 7-9