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.

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Step-by-step explanation:

2x - 6y = 12

so we pick any number for x and then solve for y

lets say x = 0

2(0) - 6y = 12

-6y = 12

y = -12/6

y = -2....so when x = 0, y = -2....(0,-2) <== one point

lets say x = 1

2(1) - 6x = 12

2 - 6x = 12

-6x = 12 - 2

-6x = 10

x = -10/6

x = - 5/3...so when x = 1, y = -5/3....(1,-5/3) <== another point

Lets say x = 2

2(2) - 6y = 12

4 - 6y = 12

-6y = 12 - 4

-6y = 8

y = -8/6

y = - 4/3....so when x = 2, y = -4/3.....(2,-4/3) <== another point

lets say x = 3

2(3) - 6y = 12

6 - 6y = 12

-6y = 12 - 6

-6y = 6

y = -6/6

y = -1....so when x = 3, y = -1.....(3,-1) <== another point

now there is 4 points.

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