Search results
- The equation of the line parallel to the line y = m𝑥 + k, passing through the point (𝑥1, y1) is given by y – y1 = m (𝑥 – 𝑥1). Simply substitute the gradient of the first line as m and the coordinates of the point as 𝑥1 and y1.
mathsathome.com/equation-parallel-line-through-point/How to Find a Parallel Line Through a Point – mathsathome.com
Free parallel line calculator - find the equation of a parallel line step-by-step.
- Vertex
Free Online functions vertex calculator - find function's...
- Vertex
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)
To find the equation of a parallel line through a given point: Write y = m𝑥 + c where ‘m’ is the gradient of the given line. Substitute the 𝑥 and y values of the given point into this equation. Solve the resulting equation for ‘c’. Write y = m𝑥 + c with these known values of ‘m’ and ‘c’.
- 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
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.
People also ask
How do you find a line parallel to a given line?
Where can you find parallel lines?
What is a parallel line in geometry?
How do you find the distance between two parallel lines?
What is a parallel line calculator?
What is the equation for a line parallel to the x-axis?
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.
