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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.