Point-Slope Equation of a Line
Point-Slope Equation of a Line
\[y = m(x-x_1)+y_1\]
Variables
y = dependent variable
x = independent variable
m = slope
x1 = x-coordinate of known point
y1 = y-coordinate of known point
Description
What is this formula?
This formula represents the equation of a straight line using a known point and the slope of the line.
When to use it
Use this formula in algebra, geometry, engineering, and graph analysis when a point on the line and its slope are known.
Example
For a line with slope 2 passing through point (1,3):
y-3 = 2*(x-1)
Simplifying:
y = 2x+1
Applications
- Linear equation modeling
- Coordinate geometry
- Engineering analysis
- Graph plotting
- Physics and motion studies
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