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- Solution: The two lines are parallel as they meet one of the properties of parallel lines “when the alternate interior angles are equal, the lines are parallel”. ∠ a is equal to ∠ c, and both of these are alternate interior angles. This proves that the two lines are parallel.
www.splashlearn.com/math-vocabulary/geometry/parallel-linesWhat are Parallel Lines? Definition, Properties, Examples, Facts
Free parallel line calculator - find the equation of a parallel line step-by-step.
- Vertex
Free Online functions vertex calculator - find function's...
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The calculator will find the equation of the parallel/perpendicular line to the given line passing through the given point, with steps shown. For drawing lines, use the graphing calculator.
A You-Tube Style Demonstration of how to write the equation of a line parallel to another line and passing through a point. Get extra practice with free downloadable worksheet (pdf)
- Perpendicular Lines
- Quick Check of Perpendicular
- Vertical Lines
- Summary
Two lines are perpendicular when they meet at a right angle (90°). To find a perpendicular slope: In other words the negative reciprocal
When we multiply a slope m by its perpendicular slope −1m we get simply −1. So to quickly check if two lines are perpendicular: Like this:
The previous methods work nicely except for a vertical line: In this case the gradient is undefined (as we cannot divide by 0): m = yA − yBxA − xB = 4 − 12 − 2 = 30= undefined So just rely on the fact that: 1. a vertical line is parallel to another vertical line. 2. a vertical line is perpendicular to a horizontal line (and vice versa).
parallel lines: sameslopeperpendicular lines: negative reciprocalslope (−1/m)- Slope
- −0.5
These are the steps for finding the equation of a line parallel to a given line and passing through a given point. For example, find the equation of the line parallel to y = 2𝑥 + 3, passing through the point (3, 11).
This calculator finds an equation for a parallel or perpendicular line passing through a given point. The calculator provides a step-by-step explanation for how to obtain the result.
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Jan 18, 2024 · In just a few seconds, it will determine the equation of a line that is parallel to a given line and passes through a given point. That's not all, though; our calculator can also determine the distance between the two lines.
