5x+7y=6

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=6-5x

Divide each term by 7 and simplify.

Divide each term in 7y=6-5x by 7.

7y7=67+-5×7

Cancel the common factor of 7.

Cancel the common factor.

7y7=67+-5×7

Divide y by 1.

y=67+-5×7

y=67+-5×7

Simplify 67+-5×7.

Move the negative in front of the fraction.

y=67-5×7

Reorder 67 and -5×7.

y=-5×7+67

y=-5×7+67

y=-5×7+67

Rewrite in slope-intercept form.

y=-57x+67

y=-57x+67

Using the slope-intercept form, the y-intercept is 67.

b=67

Find the Y-Intercept 5x+7y=6