4x+7y=4

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=4-4x

Divide each term by 7 and simplify.

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

7y7=47+-4×7

Cancel the common factor of 7.

Cancel the common factor.

7y7=47+-4×7

Divide y by 1.

y=47+-4×7

y=47+-4×7

Simplify 47+-4×7.

Move the negative in front of the fraction.

y=47-4×7

Reorder 47 and -4×7.

y=-4×7+47

y=-4×7+47

y=-4×7+47

Rewrite in slope-intercept form.

y=-47x+47

y=-47x+47

Rewrite in Slope-Intercept Form 4x+7y=4