Answer:
y = 1x + -3
Explanation:
y=mx + b where m is the slope and b is the y intercept.
The y intercept is -3.
Let's calculate the slope. Pick 2 points. I'll choose (0,-3) and (3,0).
The slope should be positive; our line is pointing UP and as x increases, y increases.
Slope = rise/run = (y2-y1)/(x2-x1)
= (-3-0)/(0-3)
= -3/-3 = 1
So y = 1x + -3
We can try another point from the graph to check that we're right. Let's use (1,-2)
y = 1(1) +-3
y = 1-3
y = -2, which is exactly our coordinate from the graph.