Category:Condition for Straight Lines in Plane to be Parallel
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This category contains pages concerning Condition for Straight Lines in Plane to be Parallel:
General Equation
Let $L: \alpha_1 x + \alpha_2 y = \beta$ be a straight line in $\R^2$.
Then the straight line $L'$ is parallel to $L$ if and only if there is a $\beta' \in \R^2$ such that:
- $L' = \set {\tuple {x, y} \in \R^2: \alpha_1 x + \alpha_2 y = \beta'}$
Slope Form
Let $L_1$ and $L_2$ be straight lines in the Cartesian plane.
Let the slope of $L_1$ and $L_2$ be $\mu_1$ and $\mu_2$ respectively.
Then $L_1$ is parallel to $L_2$ if and only if:
- $\mu_1 = \mu_2$
Pages in category "Condition for Straight Lines in Plane to be Parallel"
The following 8 pages are in this category, out of 8 total.
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- Condition for Straight Lines in Plane to be Parallel
- Condition for Straight Lines in Plane to be Parallel/Examples
- Condition for Straight Lines in Plane to be Parallel/Examples/Arbitrary Example 1
- Condition for Straight Lines in Plane to be Parallel/General Equation
- Condition for Straight Lines in Plane to be Parallel/Slope Form
- Condition for Straight Lines in Plane to be Parallel/Slope Form/Proof 1
- Condition for Straight Lines in Plane to be Parallel/Slope Form/Proof 2
- Condition for Straight Lines in Plane to be Parallel/Slope Form/Proof 3