Hi There!
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Part A:
Slope Intercept Form: y = mx + b
m = slope (slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex])
b = y intercept
[tex]m=\frac{4 - 6}{(-2)- (-6)} = \frac{-2}{4} = \frac{-1}{2}[/tex]
b = 3
Answer: y = -1/2x + 3
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Part B:
Just substitue f(x) for y.
Function Notation = f(x) -1/2 + 3
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Part C:
This function given looks almost the same but the slope is different while the one stated in the question has a slope of +2 and the equation given at the start with the slope being -1/2.
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Hope This Helps :)
