Answer:
y = x + 5
Explanation:
As we progress, to the right, from (−2, 3) to (2, 7), x increases by 4 and y increses by 4 also. Thus, the slope of this line is m = 4/4 = 1.
The slope-intercept form of the equation of a straight line is y = mx + b.
Substituting 2 for x, 7 for y and 1 for m, we get 7 = 1(2) + b. Then b = 5, and the desired equation is y = x + 5.