![2y-6x=10](https://img.qammunity.org/2023/formulas/mathematics/college/7n74qnte6j1wy4bvq2814ax0gsfhlkin4q.png)
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:
![\begin{gathered} 2y-6x+6x=6x+10 \\ 2y=6x+10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f3noyk16o1ary7onzckafe7u59wjjsm2t1.png)
Divide both sideds of the equation into 2:
![\begin{gathered} (2y)/(2)=((6x+10))/(2) \\ \\ y=(6)/(2)x+(10)/(2) \\ \\ y=3x+5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fb6czc83bu3xm76idamq4ysrd9xcy6wswr.png)
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