5x+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 5x from both sides of the equation.

7y=4-5x

Divide each term by 7 and simplify.

Divide each term in 7y=4-5x by 7.

7y7=47+-5×7

Cancel the common factor of 7.

Cancel the common factor.

7y7=47+-5×7

Divide y by 1.

y=47+-5×7

y=47+-5×7

Simplify 47+-5×7.

Move the negative in front of the fraction.

y=47-5×7

Reorder 47 and -5×7.

y=-5×7+47

y=-5×7+47

y=-5×7+47

Rewrite in slope-intercept form.

y=-57x+47

y=-57x+47

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

b=47

Find the Y-Intercept 5x+7y=4