Answer:
(a) f(x) = -2x + 4
Explanation:
The point (0, 4) in the table tells you the y-intercept is 4. Then the equation in slope-intercept form will be ...
y = mx +b . . . . . m is the slope; b is the y-intercept
The answer must have the form ...
y = mx +4
Only the first choice has the correct y-intercept.
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You may notice that when x gets larger by 1, y decreases by 2. That means the slope is m = Δy/Δx = -2/1 = -2. Then the whole equation is ...
y = -2x +4