7y+6x=21

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Subtract 6x from both sides of the equation.

7y=21-6x

Divide each term by 7 and simplify.

Divide each term in 7y=21-6x by 7.

7y7=217+-6×7

Cancel the common factor of 7.

Cancel the common factor.

7y7=217+-6×7

Divide y by 1.

y=217+-6×7

y=217+-6×7

Simplify 217+-6×7.

Simplify each term.

Divide 21 by 7.

y=3+-6×7

Move the negative in front of the fraction.

y=3-6×7

y=3-6×7

Reorder 3 and -6×7.

y=-6×7+3

y=-6×7+3

y=-6×7+3

Rewrite in slope-intercept form.

y=-67x+3

y=-67x+3

Using the slope-intercept form, the y-intercept is 3.

b=3

Find the Y-Intercept 7y+6x=21