Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Name ___________________ Date ____________ Period ________
Homework PACKET!!!
“y = mx + b” Linear Equations & Graphs UNIT
*This homework packet matches up very closely with the notes packet! Be sure to have your
notes packet out and open to use as reference when completing these homework
assignments. YOU MUST SHOW ALL WORK FOR CREDIT! FAILURE TO DO SO WILL
EARN 0 HOMEWORK POINTS!

Slope (m) – A measure of the steepness of a line. When x and y
represent different things the slope measures the rate of change.
o A positive slope indicates the line rises up to the right.
o A negative slope indicates that the line falls to the right.
o A slope of zero means you have a flat, horizontal line. (y = #)
o An undefined (0 in denominator) slope means you have a vertical line. (x = #)

Parallel Lines – Have the same slope; never intersect

Perpendicular Lines – Have opposite, reciprocal slopes; intersect at right angles (90o)
o Formula:
Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Worksheet #1 - Slope & Rate of Change
1. Calculate the slope of the line passing through the points (1, 3) and (2, 2)
and then plot the points and explain why the slope formula makes sense.
2. Find the slope of the line passing through the given points. Then tell whether
the line rises, falls, is horizontal or vertical and explain how you know.
a. (-3, 8) and (1, -7)
b. (1, 4) and (-2, 1)
c. (-5, 4) and (-2, 5)
d. (-7, -3) and (-5, -4)
Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Worksheet #2 - Equations of Lines (in y = mx + b form)
3. Write the equation of the line that has the given slope and y-intercept:
a. m = -18 and b = -200
4. Write the equation of the line that has the given slope and y-intercept:
a. m = 1/3 and b = 28
5. Write the equation of the line that has the given slope and y-intercept:
a. Y-intercept = -1/6 and slope = 88
6. Write the equation of the line that passes through the given point and
has the given slope:
a. (0, -21) and m = 4
b. (2, -1) and m = 3
c. (-9, 0) and m = -1
d. (-12, 3) and m = 0
e. (44, 7) and m = undefined
Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Worksheet #3 - Equations of Lines (in y = mx + b form)
7. Write the equation of the line that passes through the given points:
a. (-2, -1) and (-4, -6)
b. (7, 4) and (0, -8)
c. (0, -1) and (0, 3)
d. (12, 0) and (-12, 0)
e. (18, -2) and (12, -1)
Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Worksheet #4 - Parallel Lines
8. A given line has a slope of - ⅚. (ie, m =
-⅚)
a. What would the slope of a line parallel to this line be and why?
9. A given line has a slope of 7. (ie, m =
7)
a. What would the slope of a line parallel to this line be and why?
10. A given line has a slope of -13. (ie, m =
-13)
a. What would the slope of a line parallel to this line be and why?
11. Write the equation of the line that passes through (-1, 3) and is parallel
to the line y = -x + 1.
12. Write the equation of the line that passes through (4, -8) and is parallel
to the line y = -2x - 13.
13. Write the equation of the line that passes through (0, 19) and is parallel
to the line y = x + 33.
Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Worksheet #5 - Parallel Lines
14. Write the equation of the line that passes through (-6, 0) and is parallel
to the line y = 5x - 43.
15. Write the equation of the line that passes through (-4, 8) and is parallel
to the line that passes through (2, 1) and (-2, -1).
16. Write the equation of the line that passes through (-1, 8) and is parallel
to the line that passes through (5, -1) and (2, -5).
17. Write the equation of the line that passes through (-1, -3) and is parallel
to the line that passes through (10, 3) and (7, -1).
Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Worksheet #6 - Perpendicular Lines
18. A given line has a slope of - ⅖. (ie, m =
-⅖)
a. What would the slope of a line perpendicular to this line be and why?
19. A given line has a slope of -4. (ie, m =
-4)
a. What would the slope of a line perpendicular to this line be and why?
20. A given line has a slope of 17. (ie, m =
17)
a. What would the slope of a line perpendicular to this line be and why?
21. Write the equation of the line that passes through (3, -2) and is
perpendicular to the line y = x - 3.
22. Write the equation of the line that passes through (-3, 3) and is
perpendicular to the line y = -x - 6.
23. Write the equation of the line that passes through (0, -13) and is
perpendicular to the line y = -2x + 5.
Geometry Quarter 2: Homework Packet (Belongs in Homework section of binder!)
Worksheet #7 - Perpendicular Lines
24. Write the equation of the line that passes through (5, 0) and is
perpendicular to the line y = 5x + 55.
25. Write the equation of the line that passes through (-7, 2) and is
perpendicular to the line that passes through (-5, -6) and (3, -3).
26. Write the equation of the line that passes through (2, -6) and is
perpendicular to the line that passes through (0, 9) and (6, -2).
27. Write the equation of the line that passes through (4, -4) and is
perpendicular to the line that passes through (8, 11) and (-1, -3).