12x+6y=12
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 12x from both sides of the equation.
6y=12-12x
Divide each term by 6 and simplify.
Divide each term in 6y=12-12x by 6.
6y6=126+-12×6
Cancel the common factor of 6.
Cancel the common factor.
6y6=126+-12×6
Divide y by 1.
y=126+-12×6
y=126+-12×6
Simplify 126+-12×6.
Simplify each term.
Divide 12 by 6.
y=2+-12×6
Cancel the common factor of -12 and 6.
Factor 6 out of -12x.
y=2+6(-2x)6
Cancel the common factors.
Factor 6 out of 6.
y=2+6(-2x)6(1)
Cancel the common factor.
y=2+6(-2x)6⋅1
Rewrite the expression.
y=2+-2×1
Divide -2x by 1.
y=2-2x
y=2-2x
y=2-2x
y=2-2x
Reorder 2 and -2x.
y=-2x+2
y=-2x+2
y=-2x+2
y=-2x+2
Using the slope-intercept form, the y-intercept is 2.
b=2
Find the Y-Intercept 12x+6y=12
