What is the equation of this line? a) y= 1 2 x−3 b) y=− 1 2 x−3 c) y=−2x−3 d) y=2x−3

y = (1/2)x - 3     Answer A is closest.  

Step-by-step explanation:

Two points on the line are (0, -3) and (4, -1).  Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier.  The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.

Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2.  Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.

The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):

y = (1/2)x - 3

Answer A should be y = (1/2)x - 3 for improved legibility.  1 2 x is not correct as a way to express (1/2)x.

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