1. What is the Point Slope Form Equation?

The Point Slope Form equation is a linear equation format used to describe a line using a known point on the line and the slope of the line. It is expressed as: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

2. How Does the Calculator Work?

The calculator uses the Point Slope Form equation:

Where:

• \( y \) — Dependent variable (unitless)
• \( y_1 \) — y-coordinate of known point (unitless)
• \( m \) — Slope of the line (unitless)
• \( x \) — Independent variable (unitless)
• \( x_1 \) — x-coordinate of known point (unitless)

Explanation: The equation allows you to find the equation of a line when you know one point on the line and the slope. It handles fractional values for precise calculations.

3. Importance of Point Slope Form

Details: The point slope form is particularly useful when working with linear equations in algebra and coordinate geometry. It provides a straightforward way to write the equation of a line and is easily convertible to other forms like slope-intercept form.

4. Using the Calculator

Tips: Enter the y-coordinate of the point (y₁), the slope (m), and the x-coordinate of the point (x₁). All values can be entered as fractions (e.g., 1/2, 3/4) or decimals. The calculator will display the complete point slope form equation.

5. Frequently Asked Questions (FAQ)

Q1: Can I use fractions as inputs?
A: Yes, the calculator accepts fractional inputs for all values (y₁, slope, and x₁).

Q2: How do I convert to slope-intercept form?
A: Distribute the slope and solve for y: y = m(x - x₁) + y₁

Q3: What if my slope is zero?
A: A zero slope indicates a horizontal line. The equation becomes y = y₁.

Q4: What if my slope is undefined?
A: An undefined slope indicates a vertical line. The equation becomes x = x₁.

Q5: Can I use this for any linear equation?
A: Yes, any linear equation can be expressed in point slope form if you know one point on the line and the slope.