Parallel and Perpendicular Slopes and Equations
-3/8
What is the slope of a line parallel to the line 3x + 8y = 17.
-5/4
What is the slope of a line perpendicular to the line 4x - 5y = -18
y =-2
Write an equation of a line that is parallel to the lines y = 7 that passes through (1,-2).
y = b, where b is any number.
Write an equation of a line that is perpendicular to the line x = 5.
x = 1
Write an equation of a line that is perpendicular to the line y = 7 that passes through (1,-2).
x = a, where a is any number except 5
Write the equation of a line that is parallel to the line x = 5.
y = 4x - 12 OR y + 4 = 4(x - 2)
Write the equation of a line that passes through (2,-4) and is parallel to y = 4x - 6
y = 5x - 13 OR y - 7 = 5(x - 4)
Write the equation of a line that passes through (4,7) and is parallel to y = 5x +3
y = 1/3 x + 6 OR y - 4 = 1/3(x + 6)
Write the equation of a line that passes through (-6,4) and is perpendicular to y = -3x +5
y = 5/8 x + 33 (given y-intercept) OR y - 18 = 5/8(x + 24)
Write the equation of a line that passes through the points (-24, 18) and (0, 33)
y = 5x -22 OR y + 7 = 5(x - 3)
Write the equation of a line that that passes through (3, -7) and is perpendicular to the line y = -1/5 x + 1
y = -x + 10 OR y - 6 = -1(x - 4)
Perpendicular y = x - 3 through ( 4, 6)
Parallel: 10 Perpendicular: -1/10
For the given slope, find the slope of any parallel and perpendicular line to it: 10
Parallel: 10/11 Perpendicular: -11/10
For the given slope, find the slope of any parallel and perpendicular line to it: 10/11
Parallel: 11 Perpendicular: -1/11
For the given slope, find the slope of any parallel and perpendicular line to it: 11
Parallel: 12 Perpendicular: -1/12
For the given slope, find the slope of any parallel and perpendicular line to it: 12
Parallel: 2/11 Perpendicular: -11/2
For the given slope, find the slope of any parallel and perpendicular line to it: 2/11
Parallel: 5/6 Perpendicular: -6/5
For the given slope, find the slope of any parallel and perpendicular line to it: 5/6
Parallel: 6 Perpendicular: -1/6
For the given slope, find the slope of any parallel and perpendicular line to it: 6
equal
Parallel lines have slopes that are
y = 2x + 3 OR y + 9 = 2(x + 6)
Parallel to 2x - y = 6 through (-6, -9)
y = -2x - 1 OR y - 5 = -2(x + 3)
Parallel y = -2x + 3 through (-3, 5)
y = -3x + 9
Parallel y = -3x through (3, 0)
y = 1/2x - 9 OR y + 5 = 1/2(x - 8)
Parallel y = 1/2x - 8 through (8, -5)
y = 4x + 17 OR y - 5 = 4(x + 3)
Parallel y = 4x + 1 through (-3, 5)
y = -1/2x + 2 OR y + 2 = -1/2(x - 8)
Perpendicular 4x - 2y = 9 through (8, -2)
opposite reciprocals
Perpendicular lines have slopes that are
y = 3x - 10 OR y - 2 = -1/3(x - 4)
Perpendicular y = -1/3x + 2 through (4, 2)
y = x
Perpendicular y = -x - 3 through (0,0)
y = -1/2x
Perpendicular y = 2x + 7 through (0,0)
