Definitions [1]
Definition: Linear Equation
An equation of the form ax + by + c = 0 represents a straight line and is known as a linear equation.
Formulae [3]
Formula: Slope–Intercept Form
When slope and y-intercept are given
y = mx + c
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m = slope
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c = y-intercept (value of y when x = 0)
Formula: Two-Point Form
When two points are given
\[\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\]
Formula: Point–Slope Form
When the slope and one point are given
y − y1 = m(x − x1)
Concepts [16]
- Introduction of Three Dimensional Geometry
- Direction Cosines and Direction Ratios of a Line
- Equation of a Line in Space
- Angle Between Two Lines
- Shortest Distance Between Two Lines
- Equation of a Plane in Normal Form
- Equation of a Plane Perpendicular to a Given Vector and Passing Through a Given Point
- Equation of a Plane Passing Through Three Non Collinear Points
- Equations of Line in Different Forms
- Plane Passing Through the Intersection of Two Given Planes
- Coplanarity of Two Lines
- Angle Between Two Planes
- Distance of a Point from a Plane
- Angle Between Line and a Plane
- Vector and Cartesian Equation of a Plane
- Vector and Cartesian Equations of a Line
