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Well, the easiest way to find the slope of an equation is by having the equation in slope-intercept form (y=mx+b), where b is your y-intercept and m is the slope.


[tex]4x+2y=12[/tex]

To do this, you must first subtract [tex]4x[/tex] on both sides (Subtraction Property of Equality).

[tex]2y=4x+12[/tex]


Now you must isolate the y, so divide by 2 on both sides. (Division Property of Equality)

[tex]y=2x+6[/tex]


Now the equation is in slope-intercept form, and in this case, 2 would be your m.

This means that the slope of the line is 2