Answer:
y = x - 3
Step-by-step explanation:
Find the change in x as we move from (2, -1) to (10, 7); it is 8. This is the 'run.'
Similarly, the change in y is 8.
Thus, the slope of the line through these two points is m = rise/run = 8/8, or 1. The slope of this line is m = 1.
Arbitrarily using the coordinates of the point (2, -1), along with the point-slope formula y = mx + b, we get:
-1 = 1(2) = b, so that
-3 = b
and so the desired equation of the line passing through these two points is
y = 1(x - 3), or simply y = x - 3
