# Find the Slope and Y-Intercept 4x-6y=12

4x-6y=12
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 4x from both sides of the equation.
-6y=12-4x
Divide each term by -6 and simplify.
Divide each term in -6y=12-4x by -6.
-6y-6=12-6+-4x-6
Cancel the common factor of -6.
Cancel the common factor.
-6y-6=12-6+-4x-6
Divide y by 1.
y=12-6+-4x-6
y=12-6+-4x-6
Simplify 12-6+-4x-6.
Simplify each term.
Divide 12 by -6.
y=-2+-4x-6
Cancel the common factor of -4 and -6.
Factor -2 out of -4x.
y=-2+-2(2x)-6
Cancel the common factors.
Factor -2 out of -6.
y=-2+-2(2x)-2(3)
Cancel the common factor.
y=-2+-2(2x)-2⋅3
Rewrite the expression.
y=-2+2×3
y=-2+2×3
y=-2+2×3
y=-2+2×3
Reorder -2 and 2×3.
y=2×3-2
y=2×3-2
y=2×3-2
Rewrite in slope-intercept form.
y=23x-2
y=23x-2
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=23
b=-2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 23
y-intercept: -2
Slope: 23
y-intercept: -2
Find the Slope and Y-Intercept 4x-6y=12