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Algebra 2 3.7
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Parallel lines have the same ___________ but different _______________. slope y-intercepts Determine whether the graphs of each pair of equations are parallel. yes no
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No, these are the same line Write an equation that contains a given point and is parallel to a given line. Example 1: (-1, 3) Step 1: Find the slope of the given line by solving for y: Step 2: The new line has the same slope as the given equation, so we use that slope. Also, use the point-slope form of a linear equation:
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(-1, 3)m = -2 Step 3: Solve for y (change it to slope-intercept form)
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Example 2: (-2, -4)
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The slopes of perpendicular ( ) lines are negative reciprocals. What is the negative reciprocal of ? Of ? Determine whether the graphs of each pair of equations are perpendicular: YES
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Determine whether the graphs of each pair of equations are perpendicular: NO
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Example 1: Write an equation of the line perpendicular to and containing the point (2, -3). Step 1: Find the slope of the given line by solving for y. Step 2: Find the negative reciprocal of that slope. Step 3: Substitute the given point (2, -3) and that slope in the point-slope formula.
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Step 4: Solve for y (put in slope-intercept form)
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Write an equation of the line perpendicular to the given equation and containing the given point: Example 1: (-1,2) It’s already solved for y. The negative reciprocal of the slope is Use your calculator
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Write an equation of the line perpendicular to the given equation and containing the given point: Example 1: (3, 4) The negative reciprocal of the slope is Use your calculator
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Classwork: 2, 8, 14, 18/141
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Get ready for a “Small Quiz” to be written on your grade sheet.
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THE END
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Quiz. Copy the problems and write the answer. Put your grade paper on the front of your row, quiz side down. 1. Graph: 2. Write the equation of the line between (-2,3) and (5,8). Solve for y.
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