Answer:
D. y = 2x -3
Explanation:
The equation of a line in slope-intercept form is
y = mx + b
We need to find m, the slope, and b, the y-intercept.
We can find those two numbers from the graph.
We look in the graph and see that the y-intercept, b, is -3.
Now we have y = mx - 3.
Now we look for the slope. Start at (0, -2). We need to go vertically and horizontally to the next point that is easy to read. We see that point (1, -1) is on a grid intersection making it easy to read, so we will use that point.
Go up 2 units. That is a rise of positive 2. Now go right 1 unit. That is a run of positive 1.
slope = rise/run = 2/1 = 2
m = 2, so now we have
y = 2x - 3
Answer: D. y = 2x -3