-x+7y=12

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

y=mx+b

Add x to both sides of the equation.

7y=12+x

Divide each term by 7 and simplify.

Divide each term in 7y=12+x by 7.

7y7=127+x7

Cancel the common factor of 7.

Cancel the common factor.

7y7=127+x7

Divide y by 1.

y=127+x7

y=127+x7

Reorder 127 and x7.

y=x7+127

y=x7+127

Rewrite in slope-intercept form.

y=17x+127

y=17x+127

Using the slope-intercept form, the y-intercept is 127.

b=127

Find the Y-Intercept -x+7y=12