2015 AMC 10B Problems/Problem 13

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We find the x-intercepts and the y-intercepts to find the intersections of the axes and the line. If $x=0$, then $y=12$. If $y$ is $0$, then $x=5$. Our three vertices are $(0,0)$, $(5,0)$, and $(0,12)$. We multiply base by height and divide by $2$ to get $\boxed{30}$ as our answer.