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How to Use the Parallel and Perpendicular Line Calculator? Begin by entering the equation of the line you have. Provide the coordinates of the specific point through which the new line (parallel or perpendicular) should pass. Select your desired line orientation: whether you want a line that's parallel or one that's perpendicular to the given line.
Free parallel line calculator - find the equation of a parallel line step-by-step
- 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
Examples, solutions, videos, and worksheets to help grade 7 students learn how to find the equation of a line passing through a given point and parallel to the given equation. How to find the equation of Parallel Lines? There are three sets of Parallel Lines worksheets:
How to find the equation of a parallel line. In order to find the equation of a parallel line: State/calculate the gradient of the original straight line. Substitute the value for m into the equation of a new straight line. State/calculate the value of the \textbf{y} -intercept.
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. Read on to discover how to find the slope of a parallel line or what a y-intercept is.
Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. Just remember: Always the same distance apart and never touching. The red line is parallel to the blue line in each of these examples: Parallel lines also point in the same direction. Parallel lines have so much in common.
