Slope-Intercept Form, The Standard Form Of A Linear Equation, Scatter Plots And Line Of Best Fit, Predicting With Linear Models Worksheet Page 6
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16Writing Equations of Parallel and Perpendicular Lines
Algebra
Essential Question: How can you recognize lines that are parallel or perpendicular?
Exploration:
Write each linear equation in slope-intercept form. Then use a graphing calculator to graph the three
equations in the same square viewing window. Which two lines appear perpendicular?
1. a) 3x+ 4y = 6
2. a) 2x + 5y = 10
b) 3x – 4y = 12
b) -2x + y = 3
c) 4x – 3y = 12
c) 2.5x – y = 5
Two lines are perpendicular when ….
What did we learn about the equation of parallel lines in the last unit?
1.
(a) Write an equation of the line that is parallel to y = 3x + 4 and passes through the point (-2, 0) in
slope- intercept form.
(b) Write an equation of the line that is parallel to y = -2x - 1 and passes through the point (2, 6) in
point – slope form.
2. Determine which of the lines, if any, are parallel or perpendicular.
Line a:
3y = 2x + 9
Line b: 3x + 2y = 8
Line c: 3y – 2x = -9
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