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Algebra 2
Section 9.1 B
Graphing Linear Equations
Graph the equation.
1. 4x – 2y = 10
-4x
-4x
-2y = - 4x + 10
y = 2x - 5
If x = -1
y = 2(-1) – 5
y = -2 – 5
y = -7
If x = 0
y = 2(0) – 5
y=0–5
y = -5
If x = 1
y = 2(1) – 5
y=2–5
y = -3
solve for y 1st
divide by -2
x
y
-1
0
1
-7
-5
-3
graph
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2. 10x – 5y = 15
-10x
-10x
-5y = -10x + 15
y = 2x - 3
If x = -1
y = 2(-1) – 3
y = -2 – 3
y = -5
If x = 0
y = 2(0) – 3
y = -3
solve for y 1st
divide by -5
graph
x
y
-1
0
1
-5
-3
-1
If x = 1
y = 2(1) – 3
y=2–3
y = -1
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3. 6x + 3y = 9
-6x
-6x
3y = -6x + 9
y = -2x + 3
If x = -1
y = -2(-1) + 3
y=2+3
y=5
If x = 0
y = -2(0) + 3
y=0+3
y=3
solve for y 1st
divide by 3
graph
x
y
-1
0
1
5
3
1
If x = 1
y = -2(1) + 3
y = -2 + 3
y=1
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4. 4x + 2y = 8
- 4x
solve for y 1st
- 4x
2y = - 4x + 8
divide by 2
y = -2x + 4
If x = -1
y = -2(-1) + 4
y=2+4
y=6
If x = 0
y = -2(0) + 4
y=4
graph
x
y
-1
0
1
6
4
2
If x = 1
y = -2(1) + 4
y = -2 + 4
y=2
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the graph of a linear function forms a straight line
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Mr. Sims
Algebra 2
Section 9.1 B
Assignment
Draw the graph of each equation.
1.) 3x + 3y = 9
2.) - 4x – 2y = 10
3.) x – y = 0
4.) 6x – 3y = 15
5.) 2x – 4y = 12
6.) -3x – y = 5
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