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Integrated Math Name: Period: Date: Sec 3.1.3 Slopes of Parallel and Perpendicular Lines 329. Use what you learned about the slopes of parallel and perpendicular lines to write the equation of a line
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How to fill out 3 slopes of parallel

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Step 1: Gather the necessary information. Make sure you have the coordinates of two points on each of the three slopes of the parallel lines.
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Step 2: Calculate the slope for each line. Use the formula (y2 - y1) / (x2 - x1) to find the slope between two points on each line.
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Step 3: Substitute the slope values into the equation y = mx + b, where m is the slope and b is the y-intercept.
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Step 4: Solve the equation for the y-intercept. Substitute the known values (x, y) of one of the points on the line and solve for b.
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Step 5: Write the equations for all three slopes of the parallel lines in the form y = mx + b, using the slope and y-intercept values.
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Step 6: Double-check your work by confirming that all three lines have the same slope. If they do, you have correctly filled out the slopes of parallel lines.

Who needs 3 slopes of parallel?

01
Architects who are designing buildings with parallel walls or floors need to determine the slopes of parallel lines.
02
Engineers who are working on road constructions or railway lines need to calculate the slopes of parallel tracks.
03
Mathematics students who are learning about parallel lines and their properties need to understand how to find and work with the slopes.
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It is a mathematical concept where two lines are parallel if they have the same slope.
Anyone studying or working with geometry or algebra may need to calculate and work with slopes of parallel lines.
To calculate the slope of a line, you need to know two points on the line. Then, you can use the formula (y2-y1)/(x2-x1) to find the slope.
The purpose of calculating slopes of parallel lines is to determine if two lines are parallel or not, which can be useful in various mathematical and real-world applications.
The coordinates of the two points on the line are needed to calculate the slope of the line.
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