Write the slope-intercept form of the equation of the line through the given points.

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)

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