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2004 AMC 12A Problems/Problem 5

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Problem

The graph of the line y=mx+b is shown. Which of the following is true?

Image:2004 AMC 12A Problem 5.png

\mathrm {(A)} mb<-1 \qquad \mathrm {(B)} -1<mb<0 \qquad \mathrm {(C)} mb=0 \qquad \mathrm {(D)} 0<mb<1 \qquad ...

Solution

It looks like it has a slope of -\dfrac{1}{2} and is shifted \dfrac{4}{5} up.

\dfrac{4}{5}\cdot \dfrac{-1}{2}=\dfrac{-4}{10} \Rightarrow \mathrm {(B)}

See also

2004 AMC 12A (ProblemsResources)
Preceded by
Problem 4
Followed by
Problem 6
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