7y+4x=7

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=7-4x

Divide each term by 7 and simplify.

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

7y7=77+-4×7

Cancel the common factor of 7.

Cancel the common factor.

7y7=77+-4×7

Divide y by 1.

y=77+-4×7

y=77+-4×7

Simplify 77+-4×7.

Simplify each term.

Divide 7 by 7.

y=1+-4×7

Move the negative in front of the fraction.

y=1-4×7

y=1-4×7

Reorder 1 and -4×7.

y=-4×7+1

y=-4×7+1

y=-4×7+1

Rewrite in slope-intercept form.

y=-47x+1

y=-47x+1

Using the slope-intercept form, the y-intercept is 1.

b=1

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