Grade 9 Mastery Slope Questions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. State the slope of the staircase shown.
a.
____
____
2. State the slope of the staircase shown.
a.
b. 2
d.
c.
d. 3
b.
c.
d.
c.
d.
4. State the slope of the line shown.
a.
____
c.
3. State the slope of the staircase shown.
a.
____
b.
b.
5. Choose the best estimate of the slope of the line shown.
____
____
____
a. -3
b. -0.33
c. 3
6. Choose the best estimate of the slope of the line shown.
d. 0.33
a. 3.33
b. -3.33
c. -0.3
7. The slope of the line segment through A(-2,3) and B(1,2) is
a.
b. 3
c. -3
d. 0.3
8. The slope of the line segment through A(-2,3) and B(-1,-2) is
d.
a.
____
b. -5
c.
9. The slope of the line segment through A(-2,3) and B(1,-2) is
a. -5
b.
c.
d.
d.
____ 10. The coordinates of points E and G in the graph shown are
a. (0,-3) and (4,-6)
b. (-3,0) and (4,-6)
c. (-3,0) and (-6,4)
____ 11. The coordinates of points F and H in the graph shown are
a. (0,-3) and (-4,6)
b. (-3,0) and (-4,6)
c. (0,-3) and (6,-4)
d. (0,-3) and (-6,4)
d. (-3,0) and (6,-4)
____ 12. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes -1
and undefined are:
a. c and a
b. e and f
c. c and f
d. e and a
____ 13. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes
and undefined are:
a. d and c
b. g and e
c. d and e
d. a and c
____ 14. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes -2
and 0 are:
a. g and e
b. g and c
c. a and e
d. b and c
____ 15. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes and 0 are:
a. d and e
b. d and c
c. a and c
d. f and e
____ 16. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes -2
and undefined are:
a. g and e
b. g and c
c. b and c
d. b and e
____ 17. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes -1
and -2 are:
a. h and d
b. f and g
c. f and a
d. h and b
____ 18. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes 1 and
0 are:
a. h and e
b. g and e
c. g and c
d. h and c
____ 19. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes
and -1 are:
a. a and h
b. d and f
c. b and f
d. g and h
____ 20. Line segments with slopes 2, 1, , 0, - , -1, -2, and undefined are shown. The line segments with slopes and undefined are:
a. a and e
b. d and e
c. a and c
d. d and c
Grade 9 Mastery Slope Questions
Answer Section
MULTIPLE CHOICE
1. ANS: B
Slope =
=
PTS: 1
2. ANS: C
Slope =
=
PTS: 1
3. ANS: B
Slope =
=
PTS: 1
4. ANS: A
Slope =
=
=
PTS: 1
5. ANS: C
The easiest way to do the question is to note that as you move 1 unit to the right along the line, the points
move up by more than 1 (more like 3), so the only possible correct answer is b) 3. a) and d) can be ruled out
immediately because the slope is not negative, and 0.33 is much too small.
If you feel the need to calculate something...
The line is reasonably close to (2,15) and (7,30). Note: the choices offered to us are so different, that we don’t
have to be precise with this estimate. Also, we picked two points that were both slightly above the line. This
is more likely to give a better estimate than picking one above and one below.
Estimate of Slope =
=
=
=3
Depending on the reasonableness of the two points you pick, the answers you get may vary from 2.0 to 5.0,
but the best option for the slope would be 3.
PTS: 1
6. ANS: B
The easiest way to do the question is to note that as you move 1 unit to the right along the line, the points
move down by more than 1 (more like 3), so the only possible correct answer is c) -3.33. a) and b) can be
ruled out immediately because the slope is negative, and -0.3 is much too small.
If you feel the need to calculate something...
The line is reasonably close to (0,37) and (8,10). Note: the choices offered to us are so different, that we don’t
have to be precise with this estimate.
Estimate of Slope =
=
=
=
Depending on the reasonableness of the two points you pick, the answers you get may vary from -2.0 to -5.0,
but the best option for the slope would be -3.33
PTS: 1
7. ANS: A
Slope =
=
=
=
PTS: 1
8. ANS: B
Slope =
=
=
= -5
PTS: 1
9. ANS: C
Slope =
=
=
=
PTS: 1
10. ANS: B
E is located at -3 on the x-axis and 0 on the y-axis and G is at 4 on the x-axis and -6 on the y-axis.
PTS: 1
11. ANS: C
F is located at 0 on the x-axis and -3 on the y-axis and H is at 6 on the x-axis and -4 on the y-axis.
PTS: 1
12. ANS: B
For a slope of -1, the only line segments with negative slope are a, f, and g (go down to the right), and of these
'f' has the slope in between the other two. For an undefined slope, the run is 0 (so that slope would be some
number ÷ 0 which is undefined), so the only choice is e. Another way to think about this one is that we know
its either c or e, but c has slope 0 - think flat ski hill...
PTS: 1
13. ANS: C
For a slope of , the only line segments with positive slope are b, d, and h (go up to the right), and of these d
has the smallest slope. For an undefined slope, the run is 0 (so that slope would be some number ÷ 0 which is
undefined), so the only choice is e. Another way to think about this one is that we know its either c or e, but c
has slope 0 - think flat ski hill...
PTS: 1
14. ANS: B
For a slope of -2, the only line segments with negative slope are a, f, and g (go down to the right), and of these
'g' has the steepest slope. For a slope of 0, the rise is 0 (so that slope would be 0 ÷ some number which is 0),
so the only choice is c. Another way to think about this one is that we know its either c or e, but c has slope 0
- think flat ski hill...
PTS: 1
15. ANS: C
For a slope of - , the only line segments with negative slope are a, f, and g (go down to the right), and of
these 'a' is least steep. For a slope of 0, the rise is 0 (so that slope would be 0 ÷ some number which is 0), so
the only choice is 'c'. Another way to think about this one is that we know its either c or e, but 'c' has slope 0 think flat ski hill...
PTS: 1
16. ANS: A
For a slope of -2, the only line segments with negative slope are a, f, and g (go down to the right), and of these
'g' is steepest. For an undefined slope, the run is 0 (so that slope would be some number ÷ 0 which is
undefined), so the only choice is e. Another way to think about this one is that we know its either c or e, but c
has slope 0 - think flat ski hill...
PTS: 1
17. ANS: B
For slopes of -1and -2, the only line segments with negative slope are a,f, and g (go down to the right), and of
these f has the 'middle' slope and g is the steepest.
PTS: 1
18. ANS: D
For a slope of 1, the only line segments with positive slope are b, d, and h (go up to the right), and of these h
has the ‘middle’ slope.For a slope of 0, the rise is 0 (so that slope would be 0 ÷ some number which is 0), so
the only choice is c. Another way to think about this one is that we know its either c or e, but c has slope 0 think flat ski hill...
PTS: 1
19. ANS: B
For a slope of , the only line segments with positive slope are b, d, and h (go up to the right), and of these d
is least steep. For a slope of -1, the only line segments with negative slope are a, f, and g (go down to the
right), and of these f has the middle slope.
PTS: 1
20. ANS: A
For a slope of - , the only line segments with negative slope are a, f, and g (go down to the right), and of
these 'a' is least steep. For an undefined slope, the run is 0 (so that slope would be some number ÷ 0 which is
undefined), so the only choice is e. Another way to think about this one is that we know its either c or e, but c
has slope 0 - think flat ski hill...
PTS: 1