[tex]5x-2y=6(1+2)[/tex]
start by simplifying the equation
[tex]\begin{gathered} 5x-2y=6\cdot3 \\ 5x-2y=18 \end{gathered}[/tex]
continue by bringing the equation into the slope-intercept form
[tex]y=mx+b[/tex]
[tex]-2y=-5x+18[/tex]
divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{-5}{-2}x+\frac{18}{-2}[/tex]
simplify the equation
[tex]y=\frac{5}{2}x-9[/tex]
the slope of the line is
[tex]\frac{5}{2}=2\frac{1}{2}[/tex]
