Linear Equations
2 points
Functions
Tables &
Graphs
Misc.
Parallel/
Perpendicular
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40
50
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50
50
What is the slope between the
points (-4, -3) and (2, 0) ?
A10
What is:
1
2
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑦 −3 1
𝑚=
=
=
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑥 −6 2
A10
What is the y-intercept for the
line that passes through the
points (-1, 13) and (1, 5)?
A20
What is: 9
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑦 13 − 5
8
𝑚=
=
=
= −4
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑥 −1 − 1 −2
5 = -4(1) + b
5 = -4 + b
b=9
A20
What is the equation of the line
passing the points (-7, -9) and
(5, 3)
A30
What is: y = x - 2
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑦 −12
𝑚=
=
=1
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑥 −12
3 = 1(5) + b
3=5+b
b = -2
A30
What is the equation of the line
passing the points (0, -4) and
(-4, 6)
A40
What is: 𝑦 =
5
− 𝑥
2
−4
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑦 −10
5
𝑚=
=
=−
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑥
4
2
(0, -4)  y-intercept
A40
What is the equation of the line
passing through the points
(3, 1) and (9, 5)?
A50
What is: 𝑦 =
2
𝑥
3
−1
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑦 4 2
𝑚=
= =
𝑐ℎ𝑎𝑛𝑔𝑒 𝑜𝑓 𝑥 6 3
1=
2
(3)+
3
b
1=2+b
b = -1
A50
f(x) = 3x + 7
What is f(-2)?
B10
What is:
f(-2) = 1
f(-2) = 3(-2) + 7
f(-2) = -6 + 7
f(-2) = 1
B10
Given the set of points
{(3, 2), (5, 8), (7, 2) (5, 10)}
Name one point that would have
to be removed from the set in
order for this to be a function?
(There are two possible
answers)
B20
What is:
(5, 8) or (5, 10)
{(3, 2), (5, 8), (7, 2) (5, 10)}
Functions may not have
repeated x values
B20
f(x) = -3x – 14
Find f(12)
B30
What is: f(12) = -50
f(12) = -3(12) – 14
f(12) = -36 – 14
f(12) = -50
B30
f(x) = 4 + x
g(x) = f(x) – 14
What is the value of g(10)?
B40
What is: g(10) = 0
f(10) = 4 + 10
f(10) = 14
g(10) = f(10) – 14
g(10) = 0
B40
f(x) = 12 - 3x
g(x) = 2f(x) + 3
What is the value of g(-2)?
B50
What is: g(-2) = 39
f(-2) = 12 – 3(-2)
f(-2) = 12 + 6
f(-2) = 18
g(-2) = 2f(-2) + 3
g(-2) = 2(18) + 3
g(-2) = 36 + 3
g(-2) = 39
B50
Write an equation to represent
the data in the table below:
x
3
4
5
y
-1
-2
-3
C10
What is 𝑦 = −𝑥 + 2
x
0
1
2
3
4
5
y
2
1
0
-1
-2
-3
C10
What is the equation for the
graph modeled below?
C20
What is:
𝑦=
2
− 𝑥
3
+3
𝑟𝑖𝑠𝑒 −2
=
𝑟𝑢𝑛
3
when x = 0, y = 3
C20
Write an equation to represent
the data in the table below:
x
50
60
70
y
10
12
14
C30
What is 𝑦 =
1
𝑥
5
𝑟𝑖𝑠𝑒
2
1
=
=
𝑟𝑢𝑛 10 5
x
0
10
20
30
40
50
60
70
y
0
2
4
6
8
10
12
14
C30
Write an equation to represent
the data in the table below:
x
2
6
10
14
y
12
18
24
30
C40
What is: 𝑦 =
3
𝑥
2
+9
𝑟𝑖𝑠𝑒 6 3
= =
𝑟𝑢𝑛 4 2
x
-2
0
2
6
10
14
y
6
9
12
18
24
30
C40
What is the equation for the
graph modeled below?
C50
What is: 𝑦 =
4
− 𝑥
75
+ 16
C50
Is the following table of data a
direct variation?
x
-2
-1
0
1
y
16
8
0
-8
D10
What is:
Yes!
x
-2
-1
0
1
y
16
8
0
-8
The data is linear, increases
AND passes through the point
(0,0)
D10
Find the unknown coordinate of
the point (x, 5), which lies on
the line 3x + 7 = 5y
D20
What is: x = 6
3x + 7 = 5y (x, 5)
3x + 7 = 5(5)
3x + 7 = 25
3x = 18
X=6
D20
Is the following table of data a
direct variation?
x
-4
2
8
16
y
-2
1
4
7
D30
What is: No!
x
-4
2
8
16
y
-2
1
4
7
The data is NOT linear, therefore it
cannot be a direct variation. Direct
Variation needs to be linear AND
pass through the point (0, 0)
D30
Find the unknown coordinate of
the point (6, y), which lies on
the line x – 2y = 8
D40
What is: y = -1
x – 2y = 8
(6, y)
6 - 2y= 8
-2y = 2
y = -1
D40
The point (-1, 0) is on the line
whose equation is y = kx + 5.
What is the value of k?
D50
What is: k = 5
y = kx + 5
(-1,0)
0 = k(-1) + 5
-5 = -1k
5=k
D50
What is the equation of a line
that is parallel to y = 3x + 7 and
passes through the point (1, -12)?
E10
What is: y = 3x - 15
m = 3; x = 1, y = -12
-12 =3(1) + b
-12 = 3+ b
b = -15
E10
What is the equation of the
line that is perpendicular to
y = 15 – 4x and passes
through the point (-4, 15)?
E20
What is: y =
m
1
= ;
4
1
x
4
+ 16
x = -4, y = 15
1
= (-4)
4
15
+b
15= -1 + b
b = 16
E20
What is the equation of a
line that passes through
the point (6, 16) and is
parallel to the y-axis ?
E30
What is: x = 6
X=6
Vertical Line through (6, 16)
E30
What is the equation of a
line that passes through the
point (0, 30) and is parallel
to the x-axis
E40
What is:
y = 30
Horizontal Line through
(0, 30)
E40
What is the equation of the line that is
perpendicular to the x-axis and passes
through the point (7, 18)
E50
What is: X = 7
Vertical Line through (7, 18)
E50
Final Jeopardy
2
3
Mr. R. can eat of a slice
of pizza every five
minutes. If a sheet pizza
has 35 slices, how many
slices will be left after an
hour and a half?
What is:
23 slices