Answer :
we need to convert the following equation from standard form to slope intercept form:
[tex]6x+2y=10[/tex]we need to despejate y from the equation
[tex]2y=10-6x\Rightarrow2y=2(5-3x)[/tex]then we can cancel the number 2 in both sides, obtaining:
[tex]y=-3x+5[/tex]that is the slope-intercept form.