Answer:
y = (-1/6)x+2
Explanation:
The general form is y=mx + b where m is the slope and b is the y intercept.
Notice that the graph is sloping down - - - as x increases, y decreases, so make sure that that m (slope) ends up being negative.
We can see the y intercept is 2.
So y=mx+2
Now let's calc the slope.
We have a couple of choices. We can use the slope formula OR we can substitute. I'm going to do both.
Slope formula = (y2-y1)/(x2-x1). Pick any 2 points. (-6,3) and (6,1) are plotted with dots on your graph.
slope = (3-1)/(-6-6)
= 2/-12 = -1/6
so y = (-1/6)x+2
Here's another way to solve: use any point and solve for m.
y=mx+2
We'll use the point (6,1)
1 = m*6+2
1-2 = 6m
-1 = 6m
-1/6 = m
Same slope!
No matter how you solve, the equation is y = (-1/6)x+2.