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How to use Algebra to find parallel and perpendicular lines. Parallel Lines. How do we know when two lines are parallel? Their slopes are the same! The slope is the value m in the equation of a line: y = mx + b. Example: 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.
To find an equation of a line, first use the given information to determine the slope. Then use the slope and a point on the line to find the equation using point-slope form. Horizontal and vertical lines are perpendicular to each other.
24 Αυγ 2022 · Find an Equation of a Line Parallel to a Given Line. Since there are very specific rules about the slopes of lines that are parallel or perpendicular to each other, this makes it possible to use the equation of a line to determine the equation of another line that is parallel or perpendicular to it.
28 Νοε 2020 · You can find whether lines are parallel or perpendicular by comparing the slopes of the lines. If you are given points on the lines, you can find their slopes using the formula. If you are given the equations of the lines, re-write each equation in a form that makes it easy to read the slope, such as the slope-intercept form.
Examples of How to Find the Equation of a Line Parallel and/or Perpendicular to Another Line. Learn how to construct a line, parallel or perpendicular, to a given reference line and a fixed point, and in the process learn how to utilize the Point-Slope Form and Slope-Intercept Form of a Line.
Write the equation for a line that is a parallel or perpendicular to a line given in slope-intercept form and goes through a specific point.
Writing Equations of Parallel and Perpendicular Lines. Sometimes, instead of checking whether two lines are parallel or perpendicular, we need to find a line that is parallel/perpendicular to a certain line (in addition to satisfying some other condition). Let’s do a couple of examples involving such cases.