Slope-Intercept Form Calculator
Find the slope-intercept equation of a line passing through two points and visualize it.
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Slope (m):
Y-intercept (b):
Equation:
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What is Slope-Intercept Form?
The slope-intercept form is a way to write the equation of a straight line. It is given by y = mx + b, where:
- m is the slope of the line. It represents the rate of change of y with respect to x.
- b is the y-intercept. It is the point where the line crosses the y-axis (when x = 0).
To find the slope-intercept form from two points (x₁, y₁) and (x₂, y₂), we first calculate the slope (m) using the formula: \( m = \frac{y₂ - y₁}{x₂ - x₁} \)
Once we have the slope, we can find the y-intercept (b) by substituting one of the points and the slope into the slope-intercept form and solving for b.
Learn more about slope-intercept form on Math is Fun and Wikipedia.