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 ___________
undefined
The slope of a vertical line is always __________
undefined
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