Linear equations
Linear equations are those equations that are of the first order. These equations are defined for lines in the coordinate system.
Linear equations are also first-degree equations as it has the highest exponent of variables as 1
Linear Equations Formula
There are different forms to write linear equations. Some of them are:
Linear Equation | General Form | Example |
Slope intercept form | y = mx + c | y + 2x = 3 |
Point–slope form | y – y1 = m(x – x1 ) | y – 3 = 6(x – 2) |
General Form | Ax + By + C = 0 | 2x + 3y – 6 = 0 |
Intercept form | x/x_0 + y/y_0 = 1 | x/2 + y/3 = 1 |
As a Function | f(x) instead of y
f(x) = x + C
| f(x) = x + 3 |
The Identity Function | f(x) = x | f(x) = 3x |
Constant Functions | f(x) = C | f(x) = 6 |
Where m = slope of a line; (x_0, y_0) intercept of x-axis and y-axis
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