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Get the free Equations of parallel and perpendicular linesAnalytic geometry

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MTH1W Analytic GeometryName: ___Lesson 7.2: Creating Equations of Lineage: ___Learning Goal: We are learning to write the equation of a line without using a graph. Recall that the slope intercept
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How to fill out equations of parallel and

01
To fill out equations of parallel lines, you will need the slope and a point on one of the lines. Follow these steps to fill out the equations:
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Calculate the slope of one of the lines using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
03
Use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
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Substitute the slope you calculated into the equation and choose a point on the line to find the y-intercept.
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Write the equation using the calculated slope and y-intercept.
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Repeat the above steps for the other line to find its equation.
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Now you have the equations of parallel lines!

Who needs equations of parallel and?

01
Equations of parallel lines are needed by mathematicians, scientists, engineers, and anyone working with linear relationships.
02
They are used to model and understand various real-world scenarios such as electrical circuits, road networks, and fluid dynamics.
03
In addition, these equations are important in geometry to determine parallelism and find the distance between parallel lines.
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Overall, anyone dealing with parallel lines in their field of study or work will benefit from knowing how to generate these equations.
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The equations of parallel lines describe the relationship between two lines that run alongside each other and never intersect, having the same slope.
Individuals or entities involved in mathematical studies, engineering, or any related fields that utilize parallel lines are typically required to file equations of parallel.
To fill out equations of parallel lines, ensure both lines have the same slope and represent them in the form y = mx + b, where m is the slope and b is the y-intercept.
The purpose of equations of parallel lines is to provide a mathematical representation of lines that do not intersect, useful in various applications including geometry and physics.
Equations must report the slope (m) and y-intercept (b) for each line, clearly indicating that the slopes are identical for the lines to be parallel.
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