📈 Linear Graph Plotter
📌 Understanding Linear Graphs
A linear equation in the form **y = mx + b** represents a straight-line graph, where:
- **m** is the slope (rate of change).
- **b** is the y-intercept (where the line crosses the y-axis).
📌 Examples of Linear Equations
| Equation | Slope (m) | Y-Intercept (b) |
|---|---|---|
| y = 2x + 3 | 2 | 3 |
| y = -1.5x + 4 | -1.5 | 4 |
| y = 0.5x – 2 | 0.5 | -2 |
❓ FAQs
Q1: How do I plot a linear graph?
✅ A linear graph is plotted using the equation **y = mx + b**, where m is the slope and b is the y-intercept.
Q2: What does the slope represent?
✅ The slope represents the rate of change. A positive slope means the line rises, while a negative slope means the line falls.
Q3: How does the y-intercept affect the graph?
✅ The y-intercept determines where the line crosses the y-axis. It represents the value of y when x = 0.
Q4: What happens if the slope is zero?
✅ If the slope is zero, the line is horizontal, meaning there is no change in y as x increases.
Q5: Can a linear equation have no y-intercept?
✅ Every linear equation has a y-intercept, but if b = 0, the line passes through the origin.