1. What is Slope Intercept Form?

The slope-intercept form is a way to write the equation of a straight line. It is written as y = mx + b where m is the slope and b is the y-intercept of the line.

2. How Does the Calculator Work?

The calculator uses the slope-intercept formula:

Where:

• \( m \) — Slope of the line (rise over run)
• \( b \) — Y-intercept (where the line crosses the y-axis)
• \( x \) — Independent variable
• \( y \) — Dependent variable

Explanation: This form makes it easy to graph linear equations and understand the relationship between variables.

3. Importance of Slope Intercept Form

Details: The slope-intercept form is fundamental in algebra and is used extensively in physics, economics, and engineering to model linear relationships.

4. Using the Calculator

Tips: Enter the slope (m) and y-intercept (b) values. The calculator will display the equation in slope-intercept form.

5. Frequently Asked Questions (FAQ)

Q1: What does a positive slope indicate?
A: A positive slope means the line rises as it moves from left to right, indicating a positive relationship between variables.

Q2: What does a negative slope indicate?
A: A negative slope means the line falls as it moves from left to right, indicating an inverse relationship between variables.

Q3: What if the slope is zero?
A: A zero slope means the line is horizontal, indicating no change in y as x changes.

Q4: What if the y-intercept is zero?
A: If b = 0, the line passes through the origin (0,0).

Q5: How is this different from point-slope form?
A: Point-slope form uses a known point and the slope (y - y₁ = m(x - x₁)), while slope-intercept form explicitly shows the y-intercept.