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Select all the equations that represent the graph shown.
\(3x-2y=6\)
\(y=\frac{3}{2}x+3\)
\(y=\frac{3}{2}x-3\)
\(y-3=\frac{3}{2}(x-4)\)
\(y-6=\frac{3}{2}(x-2)\)
A line with slope \(\frac32\) passes through the point \((1,3)\).
Write an equation of the line that passes through \((1,3)\) and has a slope of \(\frac{5}{4}\).
Reflect triangle \(ABC\) over the line \(x=\text-6\).
Translate the image by the directed line segment from \((0,0)\) to \((5,\text-1)\).
What are the coordinates of the vertices in the final image?