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Finding Parallel Line Equations from a Given Slope

Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-

Course: Algebra Book: Algebra 1 · Big Ideas Math · Ron Larson Chapter: Chapter 4-

Question

Question:
A line passes through the point 2 comma 5 and is parallel to the line y equals 3x minus 4. Write the equation of the line in slope-intercept form.

Finding Parallel Line Equations from a Given Slope

This lesson covers how to write the equation of a line that is parallel to a given line and passes through a specific point. Students use the parallel lines slope rule and the slope-intercept form to determine the unknown y-intercept by substituting the given point.

In this lesson, you will learn to:
• Identify the slope of a line written in slope-intercept form.
• Apply the parallel lines rule that parallel lines have equal slopes.
• Use a known point to solve for the y-intercept in slope-intercept form.
• Write and verify the equation of a line in slope-intercept form.

Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 4- Writing Linear Functions
Level: Grade 9

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