The first row has x = 0 and y = -3 So the answer is narrowed to either A or C. These answer choices have a y intercept of -3. Choices B and D have a y intercept of 3.
We need the slope now. Pick any two points from the table. I'm going to pick (0,-3) and (2,5) from the first two rows.
Slope formula: m = (y2-y1)/(x2-x1) m = (5-(-3))/(2-0) m = (5+3)/(2-0) m = 8/2 m = 4
The slope is 4, so the equation is y = 4x-3 That's why the answer is choice C (we can rule out choice A as that slope is 1)
