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Maths-

SAT

Easy

Question

The graph of the linear function f is shown. Which equation defines f?

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

The correct answer is: $f left parenthesis x right parenthesis equals negative 2 space x plus 2$

Given points (1, 0) (0, 2)
y = f(x)
$fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction equals fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction$
$fraction numerator y minus 0 over denominator 2 minus 0 end fraction equals fraction numerator x minus 1 over denominator 0 minus 1 end fraction$
$y over 2 equals fraction numerator x minus 1 over denominator negative 1 end fraction$
-y = 2x -2
y = -2x + 2
f(x) = -2x + 2

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