Two Point Slope Calculator
To find the slope between two points, subtract the y-values, subtract the x-values, then divide the two results.
This calculator helps you find the slope of a straight line using two given points. Slope tells us how steep a line is and is useful in math, physics, engineering, and construction.
This tool is great for students, teachers, and professionals who need to calculate slopes quickly and accurately. Instead of solving by hand, just enter two points, and the calculator gives the result instantly.
Formula:
The formula for Two Point Slope (TPS) is:
| Symbol | Meaning |
|---|---|
| TPS | Two Point Slope |
| X1, Y1 | Coordinates of First Point |
| X2, Y2 | Coordinates of Second Point |
What is Two Point Slope?
The two-point slope shows how much a line rises or falls between two points. It is used in graphing equations, designing roads, and analyzing trends in data.
For example, if the two points are (2,3) and (5,7), the slope is:
This means the line rises 4 units for every 3 units it moves right.
Final Words:
To sum up, finding the slope between two points helps in graphing and real-world applications. This calculator makes it fast and easy to get accurate results.
FAQs:
1. How to find the slope when given two points?
Use the formula: TPS = (Y2 – Y1) ÷ (X2 – X1) and solve.
2. How to write point-slope form with two points?
First, find the slope, then use the point-slope equation: y – Y1 = TPS (x – X1).
3. How to find an equation of a line with two points?
Find the slope, then use the slope-intercept form: y = mx + b to find the full equation.