12x+4y=8
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.
4y=8-12x
Divide each term by 4 and simplify.
Divide each term in 4y=8-12x by 4.
4y4=84+-12×4
Cancel the common factor of 4.
Cancel the common factor.
4y4=84+-12×4
Divide y by 1.
y=84+-12×4
y=84+-12×4
Simplify 84+-12×4.
Simplify each term.
Divide 8 by 4.
y=2+-12×4
Cancel the common factor of -12 and 4.
Factor 4 out of -12x.
y=2+4(-3x)4
Cancel the common factors.
Factor 4 out of 4.
y=2+4(-3x)4(1)
Cancel the common factor.
y=2+4(-3x)4⋅1
Rewrite the expression.
y=2+-3×1
Divide -3x by 1.
y=2-3x
y=2-3x
y=2-3x
y=2-3x
Reorder 2 and -3x.
y=-3x+2
y=-3x+2
y=-3x+2
y=-3x+2
Using the slope-intercept form, the slope is -3.
m=-3
Find the Slope 12x+4y=8
