Name
Date
Period
Slope Test Review
Vocabulary: Use complete sentences to define the following terms in your own words,
Slope:
Y-Intercept:
Direct Variation:
Constant of Variation:
Proportional:
Non-Proportional:
-1
1. What is the slope of the linear equation y = --x + 3?
4
2. Use the slope formula to determine the slope of the line that passes through the points (1, -19) and
(-2, -7)? Is this slope positive, negative, or undefined?
-2
,
The slope of a line is m. One point on the line is (4, 3). Which of the following is another point on
3
the line?
A. (7, 5)
B. (7,1)
C. (2,6)
D. (6, 6)
4. What is the slope of the line that passes through the points (5, -3) and (-7, 5)?
5. Make a table and graph the equation y = 3x - 2.
6. Make a table and graph the equation y = -2x + 3.
J
.ÿoÿ.,..Lÿ..,ÿ,..ÿ..,ÿ.ÿ;,....i ...ÿ..,.:." ...ÿ
• ÿ ÿ
ÿ ÿ ÿ ÿ
'I" '-ÿ-ÿ'y .ÿ"W'ÿÿ -Y:-'ÿ"-f "]
7. Label the table as proportional or non-proportional. (Explain your answer)
GaIlons of gÿ
0
t
2
3
Cost(S)
o
4.24
8.48
I2.72
.
Write the equation of the line pictured in the graph below, Express your answer in slope intercept
form.
9. Which equation describes the line with a slope of 2 and a y-intercept of 6?
A. y=2x+6
B. y=6x+2
10. Jamal and Arturo are shoveling snow from a 120-foot-long driveway, each working at a constant
rate. Jamal began at 1:30 P.M., and Arturo began at 1:42 P.M. Who shoveled at a faster rate? Jamal
or Arturo?
Feet of Snow Shoveled
Time
]amal
1:30 P.M,
1:42 P.M.
2:00 P.M.
0
16
40
Arturo
"-
0
36
11. Write an equation that has a slope of -3 and a y-intercept of 8?
12. Calculate the slope using the graph below.
'Y ...... i ...........
;i ! 5 ......... ÿs,,,
:-,-,,ÿ , ÿ -', ÿ--'--i" '
.ÿ ,, ..... . ,-ÿ
13. For the graph,
a. Find the slope of the line.
b. Find the length of the vertical and horizontal side lengths of each
triangle shown.
c. Find the simplified ratio of the vertical side length to the horizontal side
length and explain how this ratio relates to the slope of the line.
+ÿ ÿ.J__L.[L.I_!
A ..,,I ...l,...,!_ r:td,.,,.,I.__.L, t_ l
I I It6,J)lXl 1 tÿ!
b, ,.....L.L.ÿ_.ÿ......s_.......ÿ ÿ8 9ÿ.j
14. Does the following graph represent direct variation? Why or why not?
4
4 ...+.. ÿ.. b..>
23456
ames
15. The graph of which equation is shown below?
1
A. y=2x
4
-1
B. y= ÿx+4
2
C. y=2x-4
D. y= -2x+4
/6. Write an example of a proportional and non-proportional equation. (Label your answers)
17. Using complete sentences, explain what the difference is between a proportional graph and a nonproportional graph.