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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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