Answer:
f(x) = -1/2x + 1
Step-by-step explanation:
Remember that f(x) = y
f(-2) = 2 tells you that when x = -2, y = 2 ; So you have point (-2, 2)
f(2) = 0 tells you that when x = 2, y = 0 ; So you have point (2, 0)
Now use the two points to find the slope: Slope = (change in y)/(change in x)
So slope = (0-2)/(2-(-2) = -2/4 = -1/2
Next find "b" using the slope and one point and solve for "b"
y = mx + b slope = -1/2 point (-2, 2)
2 = -1/2(-2) + b
2 = 1 + b
1 = b
Last thing to do: write the equation using slope = -1/2 and b = 1 into y = mx + b
y = -1/2x + 1
