Algebra 1
Linear Concepts Review
Name_______________________________________
1) Identify the x-intercept, y-intercept and slope
from the graph:
2) Identify the x-intercept, y-intercept and slope
from the table:
x-int:________
x-int:_________
y-int:________
y-int:_________
slope:_________
slope:__________
3) Identify the x- and y-intercepts from the
equation: 3x – 4y = 24
4) Identify the x- and y-intercepts from the
equation: 2x + 5y = 20
x-int:__________
y-int:__________
5) Write the equation of the line with a slope of ½
and a y-intercept of 6.
x-int:__________
y-int:__________
6) Rewrite in slope-intercept form and identify
the slope and y-intercept: 2x + 4y = 12
7) Write the equation of the line that is parallel to
y = 3x – 1 but has a y-intercept of -2.
slope:___________
y-int:___________
8) Write the equation of the line with a slope of 2
and that passes through the point (-2, -3).
9) Write the equation of the line that passes
through (-2, -1) and (2, 3).
10) Write the equation of the line that passes
through (2, -3) and (-2, 1).
11) Write the equation of the line with an
undefined slope and an x-intercept of 3.
12) Write the equation of the line with a slope of 0
and a y-intercept of 3.
x
2
4
6
8
y
-1
0
1
2
© 2015 Julie Valenzuela (Secondary Math Solutions)
13) Write the equation of the line from the table:
x
-2
0
2
4
y
5
6
7
8
2
14) Given y = 3x – 4, if the line is flipped over the
x-axis, what would the equation of the new line
be?
15) Given f(x) = 2x + 1, if the graph is shifted down 3 16) Given H(x) = ½x + 3, if the slope of the line is
units, what would the equation of the new line be? multiplied by 4, what would the new equation be?
17) Rewrite in slope-intercept form and identify the
slope and y-intercept: 2x – 6y = 18
slope:___________
y-int:___________
19) Write the equation of the line graphed below:
21) Graph 2x + 3y = 12 using the intercepts.
18) Given y = x, write the equation of a new line
that would be shifted up 2 units and steeper by a
factor of 4.
20) Write the equation of the line in slopeintercept form from y + 1 = 2(x + 3).
22) Graph 3x – 2y = 12 using the intercepts.
1) Identify the x-intercept, y-intercept and slope
from the graph:
2) Identify the x-intercept, y-intercept and slope
from the table:
x-int:___(2, 0)_____
x-int:___(4, 0)____
y-int:___(0, 1)_____
y-int:__(0, -2)____
slope:___- ½ ______
slope:___ ½ _______
3) Identify the x- and y-intercepts from the
equation: 3x – 4y = 24
4) Identify the x- and y-intercepts from the
equation: 2x + 5y = 20
x-int:__(8, 0)________
y-int:___(0, -6)_______
5) Write the equation of the line with a slope of ½
and a y-intercept of 6.
x-int:___(10, 0)_______
y-int:__(0, 4)________
6) Rewrite in slope-intercept form and identify
the slope and y-intercept: 2x + 4y = 12
y = ½x + 6
7) Write the equation of the line that is parallel to
y = 3x – 1 but has a y-intercept of -2.
y = 3x – 2
9) Write the equation of the line that passes
through (-2, -1) and (2, 3).
y – 3 = 1(x – 2)
or
y=x+1
11) Write the equation of the line with an
undefined slope and an x-intercept of 3.
x=3
x
2
4
6
8
y
-1
0
1
2
4y = 12 – 2x
y = 3 – ½x
slope:_____ ½______
y-int:_____(0, 3)______
8) Write the equation of the line with a slope of 2
and that passes through the point (-2, -3).
y + 3 = 2(x + 2)
or
y = 2x + 1
10) Write the equation of the line that passes
through (2, -3) and (-2, 1).
y – 1= -1(x + 2)
or
y = -1x – 1
12) Write the equation of the line with a slope of 0
and a y-intercept of 3.
y=3
13) Write the equation of the line from the table:
x
-2
0
2
4
y
5
6
7
8
y = ½x + 6
2
14) Given y = 3x – 4, if the line is flipped over the
x-axis, what would the equation of the new line
be?
2
y = – -3x – 4
15) Given f(x) = 2x + 1, if the graph is shifted down 3 16) Given H(x) = ½x + 3, if the slope of the line is
units, what would the equation of the new line be? multiplied by 4, what would the new equation be?
f(x) = 2x – 2
17) Rewrite in slope-intercept form and identify the
slope and y-intercept: 2x – 6y = 18
-6y = 18 – 2x
y = -3 + 1/3x
slope:____ 1/3_______
y-int:___-3________
19) Write the equation of the line graphed below:
y = 2x + 2
21) Graph 2x + 3y = 12 using the intercepts.
H(x) = 2x + 3
18) Given y = x, write the equation of a new line
that would be shifted up 2 units and steeper by a
factor of 4.
y = 4x + 2
20) Write the equation of the line in slopeintercept form from y + 1 = 2(x + 3).
y = 2x + 5
22) Graph 3x – 2y = 12 using the intercepts.
© 2015 Julie Valenzuela (Secondary Math Solutions)
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