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Maths-

SAT

Easy

Question

The graph of y=f(x) is a line in the xy-plane that passes through the point (0, 2) and has a slope of 5. Which of the following equations could define the function f ?

$f (x) = - \frac{1}{2} x + 5$
$f (x) = - \frac{1}{5} x + 2$
f(x) = 2x + 5
f(x) = 5x + 2

The correct answer is: f(x) = 5x + 2

y = f(x) mx + b
m = slope = 5
y = f(x) = 5x + b passes through (0,2)
2 = 5(0) + b
b = 2
∴ y = f(x) = 5x + 2

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