Question

Question 1) Refer to the equation 2x-6y=12. A) Create a table of values for at least 4 points. Show your work. B) Use the table of values to graph the line. ( Question 2) I posted a picture of question 2. Will Mark Brainliest. Has to be turned in tonight​

Answer 1

Answer:

Question 1)

Rearrange 2x-6y=12 to slope-intercept form by isolating y

y = (1/3)x - 2

Sub each x value to get the y value

x       y

-3     -3

0      -2

3      1

6      0

y = (1/3)x - 2

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

y = -3

Point (-3, -3)

y = (1/3)x - 2

y = (1/3)(0) - 2

y = -2

Point (0, -2)

y = (1/3)x - 2

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

y = 1

Point (3, 1)

y = (1/3)x - 2

y = (1/3)(6) - 2

y = 0

Point (6, 0)

See graph below

Question 2)

a) No, each support does not have the same starting coordinates. For example, the first support from the left starts at (0,0) and the second support from the left starts at (2,1).

b) No, each support does not have the same ending coordinates. For example, the first support from the left ends at (2,1) and the second support from the left ends at (6,3).

c) No, each support does not have the same change in x-values from the start to end.

The first support starts at the x-value 0 and ends at the x-value 2. It increased by 2.

The second support starts at the x-value 2 and ends at the x-value 6. It increased by 4.

d) No, each support does not have the same change in y-values from the start to end.

The first support starts at the y-value 0 and ends at the x-value 1. It increased by 1.

The second support starts at the y-value 1 and ends at the x-value 3. It increased by 2.

e) Yes, each support has the same change in the ratio of y-values over x-values. For the first support, the change is y-values is 1 and the change in x-values is 2. (1/2)

For the second support, the change in y-values is 2 and the change in x-values is 4. (2/4 = 1/2)

They both have the ratio of change in y-values over x-values 1/2.