Explanation: All of the answers are in y-intercept form (y=mx+b where m is the slope and b is the y-intercept), so the two points are used to solve for slope and y-intercept. Immediately, (0,7) gives the y-intercept because this point intercepts the y-axis at 7. Slope is found by dividing the rise over run between the two points. The points rise in y from 2 to 7 for a total of 5 units and the points run from -5 to 0 for a total of 5 units. Rise divided by run would be 5/5, simplified to a slope of 1. From this, slope=m=1 and y-intercept=b=7. Plugging these values into y=mx+b, the final answer is y=x+7.
