Answer:
A. y = 2x - 1
Explanation:
- First, find the slope. You can either use the rise/run method or use the slope formula, y2-y1/x2-x1. For the rise/run method, the rise is 4 and the run is 2, so... 4/2 = 2. If you want to use the slope formula, use the two coordinate sets, (1, 1) and (-1, -3). -3-1/-1-1 = -4/-2 = 2.
- Next, find your y-intercept. Use the slope-intercept formula, y = mx + b. M stands for the slope and b stands for your y-intercept. You can use either the coordinates (1, 1) or (-1, -3) to plug in for the x and y. In this scenario, I'll use (1, 1).
y = mx + b
Plug in your values. (2 for m)
1 = 2(1) + b
Simplify.
1 = 2 + b
Subtract 2 from both sides.
-1 = b
Finally, form your equation together.
y = 2x - 1