The given system of equations represent a single line with positive slope. So option C is correct.
SOLUTION:
Given system of equations are
[tex]\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}[/tex]
Now, if we observe, [tex](1) \times 2 \rightarrow(2)[/tex] multiplying the [tex]1^{st}[/tex] equation with 2 results in [tex]2^{nd}[/tex] equation.
which means the two line equations represents the same line.
Now, let us find the slope of line, [tex]\text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }[/tex]
So, the line has a positive slope.
