Slopes of Parallel or Perpendicular Lines

Master parallel and perpendicular lines: slopes, equations, and graphing basics!

Parallel Equations Match equations that have parallel slopes. y = 2x - 2 2x - y = -5 2x + y = -5 y - 8 = -2(x - 2) y = 8x + 9 16x - 2y = 32 y = -8x - 15 3y = -24x + 27 Sort the slope into parallel or perpendicular to the given equation, 3x + 6y = 12 Perpendicular 2 10 12 Parallel -1 -4 -6 Perpendicular Equations Match the equations that have perpendicular slopes. y = 3x + 6 x + 3y = 8 y - 2 = 1 (x + 6) y = -2x - 9 7x - 5y = 1 5x + 7y = 14 y + 4 = -1 (x - 2) 6x - 2y = 16 Perpendicular Lines Write the equation of each line. Then, state why they are perpendicular. y = 2x + 4 y = -1 - 4 Perpendicular slopes Which line is NOTparallel to the x-axis? y = 3 y = -9 y = 0 x = 12 Which line is NOT parallel to the y-axis? y = 4 x = 12 x = 0 x = -7 Which line is NOT perpendicular to the x-axis? x = 4 x = 12 y = 0 x = -7 Which line ISperpendicular to the y-axis? x = 5 y = 5 x = -5 x = -1 Which line IS perpendicular to the x-axis? x = 7 y = 9 y = 5 y = -4 What is the equation of the line, written in slope-intercept form, parallel to the given table and goes through the point (0, -6). Draw a line that is perpendicular to the given line going through (-2, 4). Then, write the equation of that line. Draw on top of the provided graph. Sort the slopes appropriately. Zero Slope y = 9 y = 0 y - 5 = 0(x - 4) Undefined Slope x = 0 x = -7 Positive Slope y + 8 = 3 - 4) 3x - 5y = 18 Negative Slope y - 2 = -15(x + 7) 7x + 9y = 12 Sort the slopes according to which are parallel and perpendicular to the slope of 2x - 8y = 15 Parallel y = 1 + 6 y - 2 = 0.25(x + 7) 6x - 24y = -8 Perpendicular y + 7= -4(x -1) 16x + 4y = 12 y = -4x - 9