Question

Refer to the equation 2x − 3y = 18.

(a) Create a table of values for at least 4 points including the x and y intercepts. Show your work.
(b) Use the table of values to graph the line.

Answer 1

first, you should rearrange your equation using simple algebra

2x-3y-18=0
2x-18=3y
(2x/3)-6=y

the y intercept has an x coordinate of 0, so substitute 0 as x in your equation to find the y-int.

the x intercept has a y coordinate of 0, so substitute 0 as y in your equation and algebraically solve for the x-int

to make the table of values, just substitute different values in for x in the equation