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What is a right triangle?
What is a right angle? What is a parallelogram?
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14.) Identify and graph parallel and perpendicular lines.
1.) Identify linear functions and linear equations. 2.) Graph linear functions that represent real-world situations and give their domain and range. 3.) Find x- and y-intercepts and interpret their meanings in real-world situations. 4.) Use x- and y-intercepts to graph lines. 5.) Find rates of change and slopes. 6.) Relate a constant rate of change to the slope of a line. 7.) Find slope by using the slope formula. 8.) Identify, write, and graph direct variation. 9.) Write a linear equation in slope-intercept form. 10.) Graph a line using slope-intercept form. 11.) 11.) Graph a line and write a linear equation using point-slope form. 13.) Write a linear equation given two points. 14.) Identify and graph parallel and perpendicular lines. 15.) Write equations to describe lines parallel or perpendicular to a given line.
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Writing Linear Equations Given the Slope and a Point
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Parallel and Perpendicular Lines
In a plane, nonvertical lines with the same slope are parallel. All vertical lines are parallel. In a plane, two oblique lines are perpendicular if and only if (iff) the product of their slopes is -1. (In other words, their slopes are opposite reciprocals of each other.) Vertical and horizontal lines are perpendicular.
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Example: Write the slope-intercept form of the equation of the line that passes through A(5, 9) and is parallel to the graph of y = 5x – 9.
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Example: Write the slope-intercept form of the equation of the line that passes through A(5, 9) and is perpendicular to the graph of y = 5x – 9.
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Note: When writing equations of parallel lines, the only part of the given line we care about is the slope!!!!
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Try: Write the slope-intercept form of the eq. of the line that passes through the point (-2, 10) and is parallel to 2x + 5y + 4 = 0.
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Try: Write the slope-intercept form of the eq. of the line that passes through the point (-2, 10) and is perpendicular to 2x + 5y + 4 = 0.
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