4x-7y=28

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.

-7y=28-4x

Divide each term by -7 and simplify.

Divide each term in -7y=28-4x by -7.

-7y-7=28-7+-4x-7

Cancel the common factor of -7.

Cancel the common factor.

-7y-7=28-7+-4x-7

Divide y by 1.

y=28-7+-4x-7

y=28-7+-4x-7

Simplify 28-7+-4x-7.

Simplify each term.

Divide 28 by -7.

y=-4+-4x-7

Dividing two negative values results in a positive value.

y=-4+4×7

y=-4+4×7

Reorder -4 and 4×7.

y=4×7-4

y=4×7-4

y=4×7-4

Rewrite in slope-intercept form.

y=47x-4

y=47x-4

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

m=47

Find the Slope 4x-7y=28