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Algebra 1
Section 4.3 C
Review for Quiz
Sketch the lines on the coordinate plane.
1. x = 4
vertical line through 4
on the x-axis
y
x=4
2. y = - 3
horizontal line through - 3
on the y-axis
x
y=-3
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Decide whether the point lies
on the line.
y
3. (- 4,5), y = - 4
= no
x
4. (- 3, 3), x = - 3
= yes
Write equations for the horizontal and vertical lines that pass
through the point.
5. (- 6, 2)
horizontal: y = 2
vertical: x = - 6
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6. (3, - 4)
horizontal: y = - 4
vertical: x = 3
Decide if the two points lie on the graph of the line.
7. 2x + 4y = 8
a. (2,1)
b. (1,2)
for (2,1)
2(2) + 4(1) = 8 substitute for x and y
4+4=8
8=8
yes
for (1,2)
2(1) + 4(2) = 8
2+8=8
10 8
no
substitute for x and y
8. y = ½x + 3
a. (-2, 4) b. (0,3)
for (-2, 4)
4 = ½(-2) + 3
4 = -1 + 3
4 2
no
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substitute for x and y
for (0,3)
3 = ½(0) + 3
3=0+3
3=3
yes
substitute for x and y
Find three different points that are solutions to the equation.
9. y = 2x + 1
If x = - 1
y = 2(-1) + 1
y = -2 + 1
y = -1
(-1,-1)
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substitute 3 different values for x
If x = 0
y = 2(0) + 1
y=0+1
y=1
(0,1)
If x = 1
y = 2(1) + 1
y=2+1
y=3
(1,3)
Use a table of values to graph the equation.
10. y = x - 2
If x = - 1
y=-1-2
y=-3
x
y
-1 - 3
If x = 0
y=0–2
y=-2
If x = 1
y=1–2
y=-1
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0
-2
1
-1
y
x
Use a table of values to graph the equation.
11. -3x + y = - 2
+3x
+3x
y = 3x - 2
If x = - 1
y = 3(-1) – 2
y = -3 – 2
y=-5
If x = 0
y = 3(0) – 2
y=0–2
y=-2
If x = 1
y = 3(1) – 2
y=3–2
y=1
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solve equation for y first
x
y
-1 - 5
0
-2
1
1
y
x
Sketch the line with the given
intercepts.
y
12. x-intercept = 4
y-intercept = - 2
x
y
x
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13. x-intercept = - 4 ¾
y-intercept = -2 ½
Find the x-intercept and the y-intercept of the line.
14. y = - 2 - x
x-int.
0 = -2 – x
+2 +2
2=-x
x=-2
y-int.
y = -2 – 0
y=-2
15. - 4x + 8y = - 16
x-int.
y-int.
- 4x + 8(0) = - 16
- 4(0) + 8y = - 16
- 4x + 0 = - 16
0 + 8y = - 16
- 4x = - 16
8y = - 16
x=4
y=-2
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Graph the equation by finding the x-intercept and
the y-intercept.
16. -3x + 9y = - 9
x-int.
-3x + 9(0) = - 9
-3x + 0 = - 9
-3x = - 9
x=3
y-int.
-3(0) + 9y = - 9
0 + 9y = - 9
9y = - 9
y=-1
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y
x
1.) Graph the lines x = -1 and y = -2. What is the point of intersection?
Algebra 1
Section 4.3 C
Assignment
Graph the equation using a table of values.
2.) 12 x  y  4
5

4.) Is  3 , 

3.) 3x + 4y = 3
4 
a solution of 5x + 3y = 11?

3
5.) Is (3,5) a solution of
Graph the equation by finding the x-intercept and y-intercept.
6.) 5x – 3y = 15
7.) -7x + 4y = 28
Use the graph to determine your answer.
8.) Which equation represents the line?
a.) 3x – 3y = 0 b.) x + y = 3 c.) y – x = 3
9.) Which is not a solution?



2 2
3 3
a.)   , 
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b.)
3


2
,
3 
2 
c.) (1, 4)
9
x  y  20 ?
2
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