Answer:
D. Graph C
Explanation:
Step 1: Identify the parts of the point-slope form to find the correct graph:
Currently, y - 1 = 2(x + 2) is in point-slope form, whose general equation is given by:
y - y1 = m(x - x1), where
- (x1, y1) is one point on the line,
- and m is the slope.
- When (x1, y1) is plugged into the point-slope form, the sign of the actual coordinates becomes its opposite.
- Thus, the coordinates of the point on the line y - 1 = 2(x + 2) is (-2, 1), while the slope is 2.
- Only Graph C C has the point (-2, 1).
- Furthermore, since slope is simply the change in y / change in x, we see that for every 2 units you rise (go up on the line), you run (go right on the line) 1 unit.