Answer: I assume the goal is to match the line to the correct table.
Step-by-step explanation: We can find the equation of the line in the graph by calculating its slope and y-intercept (the value of y when x=0). We want the equation for a straight line, y = mx + b, where m is the slope and b is the y-intercept.
The y intercept is 2 on the line. The slope can be determined by picking two points and finding the "Rise" over the "Run," or how much y changes for two x points. I'll pick two points on the line: (0,2) and (-2,0). The rise is (2-0) or 2 and the run is (0-(-2)) = 2. The slope is 2/2, or 1. We have both the slope, m (1) and y-intercept, b (2), so we arrive at y = 1x + 2, or y = x + 2, One can also simply find the points listed in the tables and determine if they fall on the graph line. If we take the first o=point from each table, we can quickly eliminate some options. For example, the point (-2,-4) does not fall on the line. (0, -2) also does not. (-2,0) does, and (-2,-4) does not. On that basis alone, the only remaining option is the one we chose, y = x + 2.
