Answer:
[tex]y=-\frac{2}{3}x+12[/tex]
Step-by-step explanation:
Step 1: Rule out answers
The answer cannot be B or D because the y-intercept is at 12(b = 12) and in a linear equation y=mx+b, b is the y intercept.
B has the y intercept at 18
D has the y intercept at 18
Step 2: Find the slope
The slop is the change in y over the change in x. We can also write this as [tex]\frac{rise}{run}[/tex]
We see it lowers by 2 so we will put -2 as the numerator
We also the x value increase by 3 every time it gets lowered by 2 so the run is 3
Therefore the slope is [tex]-\frac{2}{3}[/tex]
Step 3: Plug in the the variables to get the linear equation
[tex]y=mx+b[/tex]
[tex]y=-\frac{2}{3}x+12[/tex]
Therefore the answer is A. [tex]y=-\frac{2}{3}x+12[/tex]
