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Equation Of Line Calculator

Line Equation:

\[ y = mx + b \]

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1. What is the Equation of a Line?

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. This equation describes a straight line on a Cartesian plane.

2. How Does the Calculator Work?

The calculator can determine the line equation in two ways:

\[ y = mx + b \]

From slope and intercept: Directly uses the values of m (slope) and b (y-intercept).

\[ m = \frac{y₂ - y₁}{x₂ - x₁} \]

From two points: Calculates slope (m) first, then determines y-intercept (b) using one of the points.

3. Importance of Line Equations

Details: Line equations are fundamental in algebra and have wide applications in physics, engineering, economics, and data analysis for modeling linear relationships.

4. Using the Calculator

Tips:

5. Frequently Asked Questions (FAQ)

Q1: What if my line is vertical?
A: Vertical lines have undefined slope and are represented as x = constant. The calculator detects this case automatically.

Q2: What's the difference between slope and y-intercept?
A: Slope (m) measures steepness, while y-intercept (b) is where the line crosses the y-axis.

Q3: Can I use fractions or decimals?
A: Yes, the calculator accepts both decimal and fractional inputs (use decimal points).

Q4: What if my two points are the same?
A: The calculator requires two distinct points to determine a unique line.

Q5: How precise are the results?
A: Results are rounded to 2 decimal places for clarity.

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