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Writing Equations of PARALLEL and PERPENDICULAR LinesWORKSHEETWrite the slope of the line that is PARALLEL to each line. 1.2.3. Write the slope of the line that is PERPENDICULAR to each line. 4.5.6.7.
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How to fill out writing equations of parallel

01
To write equations of parallel lines, follow these steps:
02
Determine the slope of the given line. The slope can be found by calculating the change in the y-coordinates divided by the change in the x-coordinates.
03
Since parallel lines have the same slope, use the slope of the given line to determine the slope of the parallel line.
04
Choose a point on the parallel line. This point can be any point on the line.
05
Use the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept.
06
Substitute the slope and the coordinates of the chosen point into the equation.
07
Simplify the equation if necessary to obtain the equation of the parallel line.

Who needs writing equations of parallel?

01
Knowing how to write equations of parallel lines is useful for various people including:
02
- Mathematicians and math students who need to solve problems involving parallel lines.
03
- Engineers and architects who work with geometric designs and constructions.
04
- Surveyors and map makers who need to understand the relationship between parallel lines in order to create accurate maps and measurements.

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Writing equations of parallel means expressing two lines that will never intersect in a mathematical form.
Anyone studying or working in the field of mathematics may need to write equations of parallel.
To fill out writing equations of parallel, one must determine the slope of the lines and use that information to write the equations in slope-intercept form.
The purpose of writing equations of parallel is to understand and analyze lines that will never intersect.
Information such as the slope of the lines and a point on one of the lines must be reported when writing equations of parallel.
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