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Learn how to find the equation of a line that is parallel or perpendicular to another line using slope and point-slope formulas. See examples, diagrams and explanations of parallel and perpendicular lines.
How do you write an equation of a line that is parallel to another? Parallel lines are lines that never intersect. Because of this, a pair of parallel lines have to have the same slope, but different intercepts (if they had the same intercepts, they would be identical lines).
Parallel lines have the same slope. Perpendicular lines have slopes that are opposite reciprocals. In other words, if \(m=\frac{a}{b}\), then \(m_{⊥}=−\frac{b}{a}\). 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.
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.
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.
Learn how to write the equation of a line parallel to a given line using the same slope and a different y-intercept. See examples, explanations and practice questions for Algebra 1.
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.
