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Writing Equations of PARALLEL and PERPENDICULAR Lines WORKSHEET Write the slope of the line that is PARALLEL to each line. 1. y 2x 5 2. y x 2 3. y 3 x7 4 6. y 3 x7 4 Write the slope of the line that is PERPENDICULAR to each line. 4. y 2x 5 7. Write an equation in Slope-Intercept form of the line that is parallel to y = 5x + 12 8. Write an equation in Slope-Intercept form of the line that is perpendicular to y = 3x – 22 5. y x 2 Parallel and Perpendicular Lines Worksheet Write the equation in slope intercept form of the line parallel and line perpendicular to given line through given point. Parallel Perpendicular 1) y = 4x + 7 ____________________ __________________ 2) y = ½ x - 10 _____________________ __________________ 3) y = ¾ x + 16 _____________________ ___________________ State if the lines are Parallel, Perpendicular, or Neither (Hint: Put in slope intercept form y = mx +b) Get the Y all by itself on one side of the equation. 4) 6x ─ 12y = 24 4x + 2y = 8 5) 4x + y = 5 3x +12y = ─6 6) ─2x + 7y = 14 4x = 14y Solve the systems of equations. State whether the lines are intersecting, parallel, or coincident. 7) 3x + 2y = 19 4x ─ 5y = 10 8) 3x ─ 2y = 2 6x ─ 4y = 4 9) 4x ─ 3y = 12 ─12x + 9y = 10