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Geometry
Name:
Parallel and Perpendicular Lines - Homework
Determine whether the lines for each problem are parallel, perpendicular, or neither. For
parallel, color the umbrellas shades of red, yellow, orange, or pink. For perpendicular, color
the umbrellas shades of blue, green, or purple. For neither, color the umbrellas black.
Show all work to receive full credit.
1. x – 2y = 10
2x – 4y = -12
2. y = 2x + 3
-3x – y = 5
4.
5. ⃡𝐴𝐵 = A(-2, -2) B(0, 4)
⃡𝐶𝐷 = C(2, -6) D(4, 2)
y = 1/ 5x – 2
x – y = -3
3. 2x – 6y = -12
y = -3x – 4
6.
Geometry
Name:
Parallel and Perpendicular Lines - Homework
7. Is the line through (0, 2) and (-1, -1) perpendicular to the line through (6, -1) and (9, -2)?
Justify your answer by using slopes.
Yes, it is perpendicular because
No, it is not perpendicular because
8. Write the equation of a line in slope-intercept form of a line that passes through (5, -2)
and is parallel to 2 + y = -3x.
_________________
9. Write an equation of a line that passes through the point (-6,4) and is perpendicular to
the line represented by y = 3x + 4.
_________________
10.  RST is a right triangle. If the equation of the line containing
3
x − 1, which of the following best represents the
4
equation of the line containing RT ?
ST is y =
A
y=
4
x–1
3
B
y=−
4
x–1
3
C
y=−
3
x–1
4
Geometry
Name:
Parallel and Perpendicular Lines - Homework
11. Given:
1
2
𝑦 = − 𝑥 + 4. Give the
equation of a line perpendicular to the given
12. Write an equation of line that is
parallel to line q with a y-intercept of 4.
line with a y-intercept of -1.
___________________
Solve for a.
2
a  6  12
13.
3
a = ____
14.
7 – 3a = -2a + 8
a = ____
15. -3(2a – 4) = 3a + 4 – 2a
a = ____
Geometry
Name:
Parallel and Perpendicular Lines - Homework
y= 2x -1
y=
perpendicular
perpendicular
−4
y= 3 𝑥 − 1
y= -3x+13
−1
𝑥−1
neither
neither
neither
parallel
a= 7
a=27
y=
y= 3x+22
a= -8
y= 4 𝑥 − 1
parallel
2
−1
3
−3
𝑥+2
8
perpendicular
y= -2x+4
no