The slope of the line (x)/(3)+(y)/(2)=1 is

1988 AMC 12 Problem 4

Attempt Problem 4 of the 1988 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1988 AMC 12 solutions, or check the answer key.

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The slope of the line

\frac{x}{3}+\frac{y}{2}=1

-\frac32

-\frac23

\frac13

\frac23

\frac32

Solve the equation for

y

y=mx+b,

the coefficient

m

is the slope

Multiplying by

2

after isolating

\frac{y}{2}

gives

y=2-\frac23x.

The slope is

-\frac{2}{3}.

Thus the correct answer is B.