Answer: Choice D) Slopes are the same
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Step-by-step explanation:
The graph of f(x) is a straight line through the two points (0,3) and (1,1). Those points are the left and right points respectively.
Start at (0,3). To get to (0,1), we move 2 units down and 1 unit to the right. Think of the "2 units down" as a "rise of -2". Negative rise means you're really falling.
So the slope of f(x) is
slope = rise/run = -2/1 = -2
slope = -2
The slope of g(x) is also -2
Note how y = -2x-5 is in y = mx+b form
we see that m = -2 is the slope
b = -5 is the y intercept
So that shows why the two functions have the same slope.