-4x-7y=6

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Add 4x to both sides of the equation.

-7y=6+4x

Divide each term by -7 and simplify.

Divide each term in -7y=6+4x by -7.

-7y-7=6-7+4x-7

Cancel the common factor of -7.

Cancel the common factor.

-7y-7=6-7+4x-7

Divide y by 1.

y=6-7+4x-7

y=6-7+4x-7

Simplify 6-7+4x-7.

Simplify each term.

Move the negative in front of the fraction.

y=-67+4x-7

Move the negative in front of the fraction.

y=-67-4×7

y=-67-4×7

Reorder -67 and -4×7.

y=-4×7-67

y=-4×7-67

y=-4×7-67

Rewrite in slope-intercept form.

y=-47x-67

y=-47x-67

Using the slope-intercept form, the slope is -47.

m=-47

Find the Slope -4x-7y=6