To match the graphs with the equations, we can analyze the behavior of each graph:
Graph 1: The line seems to have a negative slope and a y-intercept at 2. This matches with equation A: \( y = -x + 2 \).
Graph 2: The line has a positive slope and a y-intercept at -2. This corresponds to equation C: \( y = x - 2 \).
Graph 3: The curve typical of a hyperbola with symmetry across both axes, indicative of the form \( y = \frac{-2}{x} \). This matches equation B: \( y = -\frac{2}{x} \).
So the matches are:
- 1 with A
- 2 with C
- 3 with B