Objective: Parallel and perpendicular lines in the coordinate plane. Warm up

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Assignment: Carnegie Learning Parking Lot Design: Parallel and Perpendicular Lines in the Coordinate Plane

Problem 1

5. Use the point-slope form to write the equations of lines p, q, and r. Then write equations in slope-intercept form.

Problem 2 1.In the Parking Space problem, all the slopes were equal and the y-intercepts were all multiples of the same number. a.Are the slopes of parallel lines in a coordinate plane always equal? Explain. b.Are the y-intercepts of parallel lines in a coordinate plane always a multiple of the same number? Explain. 2. Write equations for three lines that are parallel to the line given by y = -2x + 4.

3. Write an equation for the line that is parallel to the line given by y = 5x + 3 and passes through the point (4, 0). Show all your work. 4.Without graphing the equations, determine whether the lines given by y – 2x = 5 and 2x – y = 4 are parallel. Show all your work.

Problem 3 1.Use a protractor to determine the measures of and. What similarity do you notice about the angles?

2.Carefully extend into line p, extend into line q, extend into line r and extend into line s.

Problem 4 1

Problem 5