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)