Slope-Intercept Equation of a Line
Slope-Intercept Equation of a Line
\[y = mx+b\]
Variables
y = dependent variable
x = independent variable
m = slope
b = y-intercept
Description
What is this formula?
This formula represents the equation of a straight line in slope-intercept form, where the slope and y-intercept are known.
When to use it
Use this formula in algebra, geometry, engineering, physics, and graph analysis to describe linear relationships.
Example
For a line with slope 2 and y-intercept 1:
y = 2x+1
If x = 3:
y = 2*3+1 = 7
Applications
- Linear modeling
- Coordinate geometry
- Engineering calculations
- Graph plotting
- Physics and economics
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