2x-7y=6

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

y=mx+b

Subtract 2x from both sides of the equation.

-7y=6-2x

Divide each term by -7 and simplify.

Divide each term in -7y=6-2x by -7.

-7y-7=6-7+-2x-7

Cancel the common factor of -7.

Cancel the common factor.

-7y-7=6-7+-2x-7

Divide y by 1.

y=6-7+-2x-7

y=6-7+-2x-7

Simplify 6-7+-2x-7.

Simplify each term.

Move the negative in front of the fraction.

y=-67+-2x-7

Dividing two negative values results in a positive value.

y=-67+2×7

y=-67+2×7

Reorder -67 and 2×7.

y=2×7-67

y=2×7-67

y=2×7-67

Rewrite in slope-intercept form.

y=27x-67

y=27x-67

Using the slope-intercept form, the slope is 27.

m=27

Find the Slope 2x-7y=6