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- Answer: Parallel lines have the same slope. Because the functions fleft (xright)=2x+3 f (x) = 2x +3 and jleft (xright)=2x - 6 j (x) = 2x −6 each have a slope of 2, they represent parallel lines. Perpendicular lines have negative reciprocal slopes.
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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.
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)
Free parallel line calculator - find the equation of a parallel line step-by-step
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.
- 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
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.
Feb 21, 2024 · The Parallel Line Calculator is designed to find the equation of a line that is parallel to a given line and passes through a specified point. How do you determine if two lines are parallel? Two lines are parallel if they have the same slope.
