6x-2y=6
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 6x from both sides of the equation.
-2y=6-6x
Divide each term by -2 and simplify.
Divide each term in -2y=6-6x by -2.
-2y-2=6-2+-6x-2
Cancel the common factor of -2.
Cancel the common factor.
-2y-2=6-2+-6x-2
Divide y by 1.
y=6-2+-6x-2
y=6-2+-6x-2
Simplify 6-2+-6x-2.
Simplify each term.
Divide 6 by -2.
y=-3+-6x-2
Cancel the common factor of -6 and -2.
Factor -2 out of -6x.
y=-3+-2(3x)-2
Cancel the common factors.
Factor -2 out of -2.
y=-3+-2(3x)-2(1)
Cancel the common factor.
y=-3+-2(3x)-2⋅1
Rewrite the expression.
y=-3+3×1
Divide 3x by 1.
y=-3+3x
y=-3+3x
y=-3+3x
y=-3+3x
Reorder -3 and 3x.
y=3x-3
y=3x-3
y=3x-3
y=3x-3
Using the slope-intercept form, the y-intercept is -3.
b=-3
Find the Y-Intercept 6x-2y=6
