Geo C – ws–A.3 - Slopes of Parallel & Perpendicular Lines
Name_______________________________
Are the following lines parallel, perpendicular, or neither? Explain or show work to support your
answer.
1.
2.
1
x2
3
y  3x  2
y 
3.
y  x 1
yx7
4.
y 2
x0
1
x 1
2
 4 y  8x  3
y
Find the slope of each line. Then state whether the lines are parallel, perpendicular, or neither.
Explain or show work to support your answer.
5.
6.
slope of l1 = __________
slope of l1 = __________
slope of l2 = __________
slope of l2 = __________
parallel, perpendicular, or neither?_______________
parallel, perpendicular, or neither?_______________
Find the slope of each line being described.
7. A line perpendicular to
8. A line parallel to
y=x+5
7
𝑦 – 2 = − (𝑥 + 6)
5
9. A line whose parallel to the
line x = 16.
Geo C – ws–A.3 - Slopes of Parallel & Perpendicular Lines
Fill in the blanks for #10 and #11.
10. The slope-intercept form of a line is y = _____x + _____.
11. The point-slope form of a line is y – y1 = _____ (x – _____).
12. Write the equation of the line that has a y-intercept of 14 and is parallel to the line y = 10x - 6. Give
your answer in slope-intercept form.
answer: _____________________
13. Write an equation of the line that is perpendicular to the line y 
through the point (2, -5). Give your answer in point-slope form.
answer: _____________________
1
x  8 and passes
2
Geo C – ws–A.3 - Slopes of Parallel & Perpendicular Lines
ANSWERS
1. neither
8. 𝒎 = −𝟕/𝟓
2. parallel
9. undefined
3. perpendicular
10. y = mx + b
4. perpendicular
11. y – y1 = m (x – x1)
5. m of l1 = -1 ; m of l2 = 1 ; perpendicular
12. 𝒚 = 𝟏𝟎𝒙 + 𝟏𝟒
6. m of l1 = 9/2 ; m of l2 = 8/2 ; neither
13. 𝒚 + 𝟓 = −𝟐(𝒙 – 𝟐)
7. 𝒎 = −𝟏