-4x+7y=3

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=3+4x

Divide each term by 7 and simplify.

Divide each term in 7y=3+4x by 7.

7y7=37+4×7

Cancel the common factor of 7.

Cancel the common factor.

7y7=37+4×7

Divide y by 1.

y=37+4×7

y=37+4×7

Reorder 37 and 4×7.

y=4×7+37

y=4×7+37

Rewrite in slope-intercept form.

y=47x+37

y=47x+37

Using the slope-intercept form, the y-intercept is 37.

b=37

Find the Y-Intercept -4x+7y=3