Writing Parallel and Perpendicular Linear Equations

Identify the slopes of the lines and write the perpendicular slopes to them. y = 3x - 8, y = 1/6x + 2, y = -4/3x + 7

-1/3, -6, 3/4

Identify the slopes of each of these lines:y = 3x - 4, y = -2/3x + 6, y = 5/2x -2

3, -2/3, 5/2

The slopes of perpendicular lines are ___________

Opposite reciprocals

y = 2x -16

Slope = 2 through (3, -10)

Line A passes through (-2, 5) and is perpendicular to y = -2x + 4. Write the equation of line A in slope-intercept form.

y = 1/2x + 6

Write the equation of a line that passes through (-6,4) and is perpendicular to y = -3x +5

y = 1/3 x + 6

Line A passes through (4, 5) and is perpendicular to 2x + 3y = 7. Write the equation of line A in slope-intercept form.

y = 3/2x - 1

Write the equation of a line that passes through (2,-4) and is parallel to y = 4x - 6

y = 4x - 12

Write the equation of a line that passes through (4,7) and is parallel to

y = 5x +3 y = 5x - 13

Write the equation of a line that that passes through (3, -7) and is perpendicular to the line y = -1/5 x + 1

y = 5x -22

Write the equation of a line that passes through (3,3) and is perpendicular to y = -3/7 x - 5

y = 7/3 x -4

What is the equation of the line that is parallel to y=(-2/3)x + 1 and passes through (6,2)?

y=(-2/3)x+6

What is the equation of the perpendicular bisector of segment AB if A(-3,9) and B(-1,5)?

y=(1/2)x + 8

What is the equation of the line through (4,9) and (-2,0)?

y=(3/2)x + 3

What is the equation of the line that contains (-7,4) and (9,-4)?

y=-.5x+.5

What is the equation of the line parallel to y=7 and passes through (-1,-10)?

y=-10

What is the equation of the line through (5,-2) and (0,-2)?

y=-2

What is the equation of the line that is perpendicular to y=(1/2)x + 9 and passes through (-7, -4)?

y=-2x - 18

The slope of a line parallel to a horizontal line would be __________

zero

What is the slope of a line parallel to the line 3x + 8y = 17.

-3/8

What is the slope of a line perpendicular to the line 4x - 5y = -18

-5/4

y = 9x -2

Slope = 9, y-intercept = -2

The equation for a horizontal line is __________

y = #

Write the equation of a line that passes through the point (1, 6) and is parallel to the line 2x + 9y = 11

y = -2/9 x + 56/9

Line A passes through (-8, 7) and is perpendicular to -4x + 3y = 8. Write the equation of line A in slope-intercept form.

y = -3/4x + 1

Line A passes through (-1, 4) and is parallel to 8x + 2y = 11. Write the equation of line A in slope-intercept form.

y = -4x

Write the equation of a line that passes through (-5,5) and is perpendicular to y = 5/9 x - 4

y = -9/5 x -4

Line A passes through (2, 3) and is parallel to x + y = 1. Write the equation of line A in slope-intercept form.

y = -x + 5

y = -1x + 4

(7, -3) and (2, 2)

The slopes of parallel lines are _________

the same

The slope of a line perpendicular to a horizontal line would be ___________

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The slope of a vertical line is always __________

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The equation for a vertical line is ____________

x = #

Line A passes through (-6, -10) and is parallel to -7x + 3y = 8. Write the equation of line A in slope-intercept form.

y = 7/3x + 4

Write the equation of a line that passes through the point (-3, 5) and is perpendicular to the line 2x + 9y = 11

y = 9/2 x + 37/2

What is the equation of a line perpendicular to y=(1/5)x+2 that goes through (2,0)?

y=-5x + 10

What is the equation of the perpendicular bisector of segment AB if A(5,2) and B(7,4)?

y=-x + 9

What is the equation of the line that contains (0,3) and (-2,-1)?

y=2x+3

Write the equation of a line that passes through (2,-4) and is parallel to y = 3x + 2

y=3x-10

Find the equation of the line with slope 3 and y-intercept of -2.

y=3x-2

What is the equation of the line that is parallel to y=4x-5 and contains (-1,5)?

y=4x+9

The slope of a horizontal line is always _________

zero