Answer: choice D)
y = (3/2)x - 1
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Work Shown:
Pick any two points you want on the graph.
Two points on this graph are (0,-1) and (2,2)
Let (x1,y1) = (0,-1) and (x2,y2) = (2,2)
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Find the slope of the line through (x1,y1) = (0,-1) and (x2,y2) = (2,2)
m = (y2 - y1)/(x2 - x1)
m = (2 - (-1))/(2 - 0)
m = (2 + 1)/(2 - 0)
m = 3/2
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Plug m = 3/2 and (x1,y1) = (0,-1) into the point slope formula.
Solve for y.
y - y1 = m(x - x1)
y - (-1) = (3/2)(x - 0)
y + 1 = (3/2)x
y + 1 - 1 = (3/2)x - 1 ... subtract 1 from both sides
y = (3/2)x - 1
