Question

Please help me I give you 30 points

Directions: Follow the instructions in each section below to complete the assignment.


Complete the following tables of values of y for each equation.


1. Equation: y = 2x -4


x| 0xxxxxx 2xxxxxxxxx 3


y|__________________


2. Equation: y = 1/2x -5


x| -5xxxxx 4xxxxxxxxx 6


y|_______________


3. Equation: y = 2/3x + 4


x| -6xxxxxx -3xxxxxxx 0


y| ________________


4. Equation: y = 2x - 8


x| 2xxxxx xx4xxxxx xx6


y| _________________


5. Equation: y = 4x -12


x| 4xx xxxxx3xxx xxxx2


y| _________________


Below is a graph that contains the lines for all the above equations. Find the line that represents each equation, based on the ordered pairs, and write the equation next to each letter for the line that it represents.




6. A:


7. B:


8. E:


Find the y values that will make each ordered pair a solution to the equations.


9. 5x + y = 15 (3, y) (4, y)


10. 2x + 3y = 6 (6, y) (2, y)


11. 6x – y = 0 (0, y) (1/2, y)


12. 2 x – 3y = 2 (1, y) (-1/2,y)


13. 7x + 3y = -4 (-4, y) (2, y)

Answer 1

Explanation:

Let's complete the tables of values for each equation:

1. Equation: y = 2x - 4

x | 0 | 2 | 3

--------------

y | -4 | 0 | 2

2. Equation: y = (1/2)x - 5

x | -5 | 4 | 6

----------------

y | -7.5 | -3 | -2

3. Equation: y = (2/3)x + 4

x | -6 | -3 | 0

----------------

y | -2 | 2 | 4

4. Equation: y = 2x - 8

x | 2 | 4 | 6

--------------

y | -4 | 0 | 4

5. Equation: y = 4x - 12

x | 4 | 3 | 2

--------------

y | 4 | 0 | -4

Now, let's find the equations represented by each line on the graph:

6. A: The line passing through points (2, 0) and (4, 4) represents the equation y = 2x - 4.

7. B: The line passing through points (-5, -7.5) and (6, -2) represents the equation y = (1/2)x - 5.

8. E: The line passing through points (-6, -2) and (0, 4) represents the equation y = (2/3)x + 4.

Now, let's find the y values that make each ordered pair a solution to the given equations:

9. 5x + y = 15

For (3, y):

5(3) + y = 15

15 + y = 15

y = 15 - 15

y = 0

For (4, y):

5(4) + y = 15

20 + y = 15

y = 15 - 20

y = -5

10. 2x + 3y = 6

For (6, y):

2(6) + 3y = 6

12 + 3y = 6

3y = 6 - 12

3y = -6

y = -6 / 3

y = -2

For (2, y):

2(2) + 3y = 6

4 + 3y = 6

3y = 6 - 4

3y = 2

y = 2 / 3

11. 6x - y = 0

For (0, y):

6(0) - y = 0

-y = 0

y = 0

For (1/2, y):

6(1/2) - y = 0

3 - y = 0

y = 3

12. 2x - 3y = 2

For (1, y):

2(1) - 3y = 2

2 - 3y = 2

-3y = 2 - 2

-3y = 0

y = 0

For (-1/2, y):

2(-1/2) - 3y = 2

-1 - 3y = 2

-3y = 2 + 1

-3y = 3

y = 3 / -3

y = -1

13. 7x + 3y = -4

For (-4, y):

7(-4) + 3y = -4

-28 + 3y = -4

3y = -4 + 28

3y = 24

y = 24 / 3

y = 8

For (2, y):

7(2) + 3y = -4

14 + 3y = -4

3y = -4 - 14

3y = -18

y = -18 / 3

y = -6

The y values that make each ordered pair a solution to the equations are as follows:

9. (3, 0), (4, -5)

10. (6, -2), (2, 2/3)

11. (0, 0), (1/2, 3)

12. (1, 0), (-1/2, -1)

13. (-4, 8), (2, -6)