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Algebra 1
5.6 Graphing Horizontal and Vertical Lines
NOTES:
1. Equations with only ONE variable graph either ___________________ or
____________________ lines.
2. An equation with only a “y”, like y=1 graphs a __________________ line.
3. An equation with only an “x”, like x=2 graphs a ___________________ line.
**y = 1 is the same as y = 0x + 1, so the slope(m) is zero and y-intercept is 1!
**x = 1 cannot be written y=mx+b form because it has no “y”. This equation has no slope and no y-intercept!
4. SLOPE of a HORIZONTAL line is _____________________.
5. SLOPE of a VERTICAL line is _____________________.
Example: Graph the vertical or horizontal line.
a. y = -2 b. x = 3 c. y = 4
Algebra 1 Name________________________
Unit 5.6 Horizontal and Vertical Lines Period 1 2 3 4 5 6 7
|For problems 1-2, Use the given graphs to answer the questions below. |
|1. The following graph is the line of the equations x = 3. |
|What type of line does x = 3 graph? (Circle one) |
|Diagonal Horizontal Vertical |
|b. Write the ordered pairs of 3 points that are on the line of x = 3. |
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|c. What do you notice about the “x” values of each ordered pair you wrote in “b”. |
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|d. What do you think the slope and y-intercept of x = 3 are? |
|Slope (m): y-intercept (b): |
|2. The following graph is the line of the equations y = -1. |
|What type of line does y = -1 graph? (Circle one) |
|Diagonal Horizontal Vertical |
|b. Write the ordered pairs of 3 points that are on the line of y = -1. |
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|c. What do you notice about the “y” values of each ordered pair you wrote in “b”. |
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|d. What do you think the slope and y-intercept of y = -1 is? |
|Slope (m): y-intercept (b): |
|Fill in the table of values with 3 ordered pairs that would be on the line of the given equation. Then, graph the line. |
|3. x = -4 |4. y = 2 |
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|Fill in the table of values with 3 ordered pairs that would be on the line of the given equation. Then, graph the line. |
|Level C |
|5. y = 3 |6. y = 0 |7. x = -2 |
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|Slope: |Slope: |Slope: |
|Level B |
|8. 3x = -12 (Isolate x 1st) |9. 2y = -4 (Isolate y 1st) |10. x + 1 = -3 (Isolate x 1st) |
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|Slope: | |Slope: |
| |Slope: | |
|Fill in the blank |
|11. The graph of an equation in the form y = (any number) is a _______________ line. |
|12. The graph of an equation in the form x = (any number) is a _______________ line. |
|13. The slope of a vertical line is _______________. |
|14. The slope of a horizontal line is _______________. |
|Write the equation of the line for the given graphs |
|15. |16. |17. |
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|Equation: |Equation: |Equation: |
|Mixed review |
|Identify the slope(m) and y-intercept(b) then graph the equation (Foldable 5.2) |
|18. y = 3x + 1 |19. y = -4x |20. 3x + 3y = -6 |
| | |(solve for y 1st) |
|m: b: |m: b: | |
| | |m: b: |
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|Find the x and y intercepts, then graph the equations (Foldable 5.1) |
|21. 2x + 3y = 6 |22. -x + y = 4 |23. -4x + 2y = 8 |
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|x-intercept: ( , 0) |x-intercept: ( , 0) |x-intercept: ( , 0) |
|y-intercept: (0, ) |y-intercept: (0, ) |y-intercept: (0, ) |
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Practice Assessment
|Level C |Level B |Level A |
|5.6 Practice Assessment | | |
|6C. Graph the equation: |6B. Graph the equation: |6A. Graph the following equation. |
| | |y=3 |
|x = -3 |2y = 12 |x=-4 |
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| | |Describe the differences between the two graphs |
ANSWERS
1. a. vertical
b. (3,0) (3,1) (3,2) answers will vary!!
c. The x-values are all 3
d. Slope: undefined y-intercept: None…it never touches the y-axis
2. a. horizontal
b. (0,-1) (1, -1) (2,-1)
c. The y-values are all -1
d. Slope: 0 y-intercept: -1
3. The x-values are all -4. The y-values can be any number, but never the same number.
4. The y-values are all 2. The x-values can be any number, but never the same number.
|5. |6. |7. |
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|8. |9. |10 |
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11. Horizontal
12. Vertical
13. Undefined
14. 0
15. y = -5
16. x = 1
17. y = 6
|18. m= 3 b= (0,1) |19. m= -4 b= (0,0) |20. y=-x-2 |
| | |m= -1 b= (0,-2) |
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|21. x-intercept: (3,0) |22. x-intercept: (-4,0) |23. x-intercept: (-2,0) |
|y-intercept: (0,2) |y-intercept: (0,4) |y-intercept: (0,4) |
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|6C |6B. y=6 |6A. |
| | |x=-4 |
| | |Vertical line |
| | |Slope: Undefined |
| | |Crosses the x-axis |
| | |y=3 |
| | |Horizontal line |
| | |Slope: 0 |
| | |Crosses the y-axis |
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