Question

Which ordered pair is the solution y=(1/3)x-4

Answer 1

That equation invites you to create a table to generate ordered pairs that you can graph and connect. Because it is a linear equation, you will create a line. Ordered pairs would include (x,y) where (0, -4) works. Plug in zero for x and y is -4. Again, (3, -1) also works. If x is 3, plug it in and get y= -1. Again, (12,0) works. Plug in 12 for x and y is zero. Connect those points to graph the line. All this should remind you that there isn’t a single ordered pair that solves that equation; instead, plug in an x value (of your choosing) and you will get a y value. Graph those (x,y) ordered pairs to graph the line that represents the equation. Peace!

Answer 2

To find the ordered pair that is the solution to the equation y = (1/3)x - 4, we need to solve the equation for x.

To do this, we can first add 4 to both sides of the equation to get y + 4 = (1/3)x. Then, we can multiply both sides of the equation by 3 to get 3y + 12 = x.

Therefore, the ordered pair that is the solution to the equation y = (1/3)x - 4 is (12, 3y).

Note that the value of y is unknown in this solution. In order to find the exact solution, we would need to know the value of y. For example, if y = 2, then the ordered pair that is the solution to the equation y = (1/3)x - 4 is (12, 6).