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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)
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).
16 paź 2014 · In general, we know that the equation of the line passing through the point $(x_1, y_1, z_1)$ & parallel to the vector $(ai+bj+ck)$ is given as $$\frac{x-x_1}{a}=\frac{y-y_1}{b}=\frac{z-z_1}{c}$$
The calculator will find the equation of the parallel/perpendicular line to the given line passing through the given point, with steps shown.
Examples of How to Find the Equation of a Line Parallel and/or Perpendicular to Another Line. Example 1: Find the equation of a line that is parallel to [latex]y = – \,3x + 5 [/latex] and passing through the point [latex]\left ( {2, – \,7} \right) [/latex].
Find the equation of the line that is: parallel to y = 2x + 1; and passes though the point (5,4) The slope of y = 2x + 1 is 2. The parallel line needs to have the same slope of 2. We can solve it by using the "point-slope" equation of a line: y − y 1 = 2(x − x 1) And then put in the point (5,4): y − 4 = 2(x − 5) That is an answer!
18 sty 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.
