To identify the slope and y intercept, writet the equation in slope inctercept form (y=mx+b). Solve the y:
add 6x in both sides of the equation:
[tex]\begin{gathered} 2y-6x+6x=6x+10 \\ 2y=6x+10 \end{gathered}[/tex]Divide both sideds of the equation into 2:
[tex]\begin{gathered} \frac{2y}{2}=\frac{(6x+10)}{2} \\ \\ y=\frac{6}{2}x+\frac{10}{2} \\ \\ y=3x+5 \end{gathered}[/tex]In y=mx+b. the m is the slope and b is the y-intercept.
For the given equation: slope is 3 and y intercept is 5