1. What is the Y Intercept Formula?

The Y intercept formula calculates the point where a line crosses the y-axis (when x=0) using a known point on the line and the slope (rise/run). It's fundamental in linear equations and graphing.

2. How Does the Calculator Work?

The calculator uses the Y intercept formula:

Where:

• \( b \) — Y-intercept (value when x=0)
• \( y \) — Y coordinate of known point
• \( rise \) — Change in y (Δy)
• \( run \) — Change in x (Δx)
• \( x \) — X coordinate of known point

Explanation: The formula rearranges the slope-intercept equation (y = mx + b) to solve for b using a known point and slope.

3. Importance of Y Intercept Calculation

Details: The y-intercept is crucial for graphing linear equations, understanding initial conditions in real-world applications, and solving systems of equations.

4. Using the Calculator

Tips: Enter coordinates of a point on the line and the slope components (rise and run). Run cannot be zero (vertical lines have undefined slope).

5. Frequently Asked Questions (FAQ)

Q1: What if my line is vertical?
A: Vertical lines (run=0) don't have a y-intercept as they run parallel to the y-axis.

Q2: Can I use decimal values?
A: Yes, the calculator accepts decimal values for all inputs.

Q3: How accurate is the result?
A: Results are rounded to 4 decimal places for precision.

Q4: What's the difference between rise/run and slope?
A: Rise/run is the slope (m) expressed as a ratio of vertical to horizontal change.

Q5: Can I use this for non-linear equations?
A: No, this formula only works for linear equations (straight lines).