Equation of a Line Formula
An equation of a line can be expressed in many ways – Slope Intercept, Standard or Point-Slope. Here we will discuss the Point-Slope Equation of a Line.
The Point Slope Equation of a Line Formula
\[\LARGE y-y_{1}=m(x-x_{1})\]
Where
m is the slope of the line.
x1 = x-coordinate of the point
y1 = y-coordinate of the point
Solved Example
Question: Find the equation of the line whose slope is 8Â and the coordinates of the point are (3, 5).
Solution:
Given, m =Â 8
(x1, y1) = (3, 5)
The formula for the equation of a line is,
y – y1 = m (x – x1)
y – 5Â = 8 (x – 3)
y – 5Â = 8x –Â 24
8x – y = 19
8x – y – 19 = 0
| More topics in Equation of a Line Formula | |
| Perpendicular Line Formula | Parallel Line Formula |
| Point of Intersection Formula | |
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