Worksheet - Parallel/Perpendicular (Word - )

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1.
y = 2/3x + 7
_______a.
What is the slope of this line?
_______b.
What is the slope of a parallel line?
_______c.
What is the slope of a perpendicular line?
2.
y = 4x + 1
_______a.
What is the slope of this line?
_______b.
What is the slope of a parallel line?
_______c.
What is the slope of a perpendicular line?
3.
y = -5/2x – 4
_______a.
What is the slope of this line?
_______b.
What is the slope of a parallel line?
_______c.
What is the slope of a perpendicular line?
4.
y = -3x + 9
_______a.
What is the slope of this line?
_______b.
What is the slope of a parallel line?
_______c.
What is the slope of a perpendicular line?
Recall the formula y = mx + b.
______________________________5.
Write the equation of a line parallel to y = 3/7x – 5, with y-intercept
at 4.
______________________________6.
Write the equation of a line parallel to y = -1/3x + 2, with y-intercept
at 3.
______________________________7.
Write the equation of a line parallel to y = 2x - 3, with y-intercept at
7.
______________________________8.
Write the equation of a line parallel to y = - x + 1, with y-intercept
at -3.
______________________________9.
Write the equation of a line perpendicular to y = 3/7x – 5, with yintercept at -3.
______________________________10.
Write the equation of a line perpendicular to y = -4x + 4, with yintercept at 2
______________________________11.
Write the equation of a line perpendicular to y = -1/8x – 5, with yintercept at –1.
12.
_______a.
3x + 5y = 30
What is the slope of this line?
______________________________b.
Write the equation of a parallel line, with y-intercept at 5.
______________________________c.
Write the equation of a perpendicular line, with y-intercept at –2.
13.
_______a.
4x – 2y = 10
What is the slope of this line?
______________________________b.
Write the equation of a parallel line, with y-intercept at -6
______________________________c.
Write the equation of a perpendicular line, with y-intercept at 3
14.
_______a.
7x + 2y = 4
What is the slope of this line?
______________________________b.
Write the equation of a parallel line, with y-intercept at 3
______________________________c.
Write the equation of a perpendicular line, with y-intercept at –6
15.
_______a.
–5x + 3y = 9
What is the slope of this line?
______________________________b.
Write the equation of a parallel line, with y-intercept at 4
______________________________c.
Write the equation of a perpendicular line, with y-intercept at 0.
16.
_______a.
x + 2y = 8
What is the slope of this line?
______________________________b.
Write the equation of a parallel line, with y-intercept at –13.
______________________________c.
Write the equation of a perpendicular line, with y-intercept at 5.
17.
_______a.
7x + y = 9
What is the slope of this line?
______________________________b.
Write the equation of a parallel line, with y-intercept at 4.
______________________________c.
Write the equation of a perpendicular line, with y-intercept at –1.
18.
_______a.
10x + 9y = 45
What is the slope of this line?
______________________________b.
Write the equation of a parallel line, with y-intercept at 13.
______________________________c.
Write the equation of a perpendicular line, with y-intercept at –40.
Are these lines parallel, perpendicular, or neither.
____________________________19.
y = -3x – 2 and y = 1/3 x + 7
____________________________20.
y = ¾x + 7 and y = ¾x + 6
____________________________21.
y = 5/3x – 11 and y = 2/5x – 11
____________________________22.
y = 6x + 8 and y = -6x + 8
____________________________23.
y = ½x + 4 and y = ½x – 5
____________________________24.
y = 5 and y = 9
____________________________25.
3x + 4y = 16 and y = 4/3x + 5
____________________________26.
y – 4 = 5(x + 2) and -10x + 2y = 12
____________________________27.
5x + 2y = 12 and 4x + 7y = 21
____________________________28.
-2x + 3y = 6 and y + 8 = 2/3(x – 6)
____________________________29.
y + 3 = 5(x – 9) and x + 5y = 20
____________________________30.
x = 4 and x = -7
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