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\nWrite the Equation of a Parallel Line HS.A-CED.A.2\n

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\nIn this math video lesson, students learn how to write the equation of a line parallel to a given line when the original equation is written in slope-intercept form and a point on the parallel line is provided. An exemplar solution is...\nIn this math video lesson, students learn how to write the equation of a line parallel to a given line when the original equation is written in slope-intercept form and a point on the parallel line is provided. An exemplar solution is modeled and explained step by step to clearly show the reasoning behind each move. The lesson begins with a review of the key concept that parallel lines have the same slope. Students then start with the slope-intercept form 𝑦 = 𝑚𝑥 + 𝑏 and identify the slope from the given line. That slope is substituted for 𝑚 in the new equation. Next, students use the given point the parallel line passes through, recognizing that this point is a solution to the equation, and substitute the coordinates for 𝑥 and 𝑦. This leaves only one unknown, the y-intercept 𝑏, which is solved algebraically. Finally, the equation of the parallel line is written using the determined slope and y-intercept. This clear, structured example reinforces both conceptual understanding and procedural fluency and represents what all Algebra students should know and be able to do in alignment with Common Core Standard HS.A-CED.A.2.\n
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Resource Details

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Curator Rating
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Educator Rating
Not yet Rated
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Media Length
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2:06
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Grade
9th - 12th
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nThe Magic Of Math\n\n
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Date
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2026
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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slope
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Additional Tags

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write the equation of a parallel line hs.a-ced.a.2, ordered pair, parallel line, pair, parallel, equation, line, write, passes, point, understand, 3 halves, halves, solution
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Classroom Considerations

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Best For: Explaining a topic
Best For: Reviewing
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