Slope-Intercept Form Calculator
Convert line equations to slope-intercept form (y = mx + b)
Slope-Intercept Form
y = 0.00x + 0.00
Graph
Step-by-Step Solution
Slope-Intercept Form
The slope-intercept form is one of the most common ways to write a linear equation:
y = mx + b
Where:
- m is the slope (steepness of the line)
- b is the y-intercept (where the line crosses the y-axis)
Why It's Useful
This form immediately tells you the slope and y-intercept, making it easy to:
- Graph the line quickly
- Understand the rate of change
- Find where the line crosses the y-axis
- Compare different lines
Frequently Asked Questions
What is slope-intercept form?
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
What does the y-intercept tell us?
The y-intercept (b) is the y-coordinate where the line crosses the y-axis (when x = 0).
How do I graph using slope-intercept form?
Start at the y-intercept (0, b), then use the slope to find other points. If m = 2/3, go up 2 and right 3.
Can I convert from standard form?
Yes! From Ax + By = C, solve for y: y = (-A/B)x + (C/B).
What if the slope is zero?
If m = 0, the equation becomes y = b, which is a horizontal line.
What if the y-intercept is zero?
If b = 0, the equation becomes y = mx, which means the line passes through the origin.