1. What is the Point Slope Formula?

The Point Slope Formula is a linear equation form used to find the equation of a line when you know the slope and one point on the line. It is expressed as \( y - y_1 = m(x - x_1) \), where \( m \) is the slope and \( (x_1, y_1) \) is the known point.

2. How Does the Calculator Work?

The calculator uses the Point Slope Formula:

Where:

• \( m \) — Slope of the line
• \( x_1 \) — X-coordinate of the known point
• \( y_1 \) — Y-coordinate of the known point

Explanation: The formula calculates the linear equation by using the slope and a specific point on the line, then converts it to slope-intercept form for easier interpretation.

3. Importance of Point Slope Form

Details: Point slope form is particularly useful when you have a point and the slope but need to find the complete linear equation. It's essential in algebra, geometry, and various real-world applications involving linear relationships.

4. Using the Calculator

Tips: Enter the slope value (m), and the coordinates of the known point (x₁, y₁). The calculator will provide both point slope form and slope intercept form equations.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between point slope and slope intercept form?
A: Point slope form uses a specific point and slope, while slope intercept form (y = mx + b) shows the slope and y-intercept directly.

Q2: When should I use point slope form?
A: Use it when you know one point on the line and the slope, but not the y-intercept.

Q3: Can I convert point slope form to standard form?
A: Yes, by rearranging the terms to get Ax + By = C format.

Q4: What if my slope is zero or undefined?
A: Zero slope gives a horizontal line, undefined slope gives a vertical line. The calculator handles both cases.

Q5: Are there limitations to this formula?
A: It only works for linear equations and requires accurate slope and point values.