Answer:
y = 4x - 7 (Answer C)
Step-by-step explanation:
First find the slope of this line. Note that as we go from (2, 1) to (3, 5), x (the 'run') increases by 1 and y (the 'rise') increases by 4.
Thus, the slope, m, is
m = rise / run = 4/1, or m = 4.
Apply the point-slope form of the equation of a straight line, since we now have both the slope and two points on the line:
y - k = m(x - h) becomes y - 1 = 4(x - 2)
Solving for y, we get: y = 4x - 8 + 1, or y = 4x - 7 (Answer C)
