4x+7y=-10

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=-10-4x

Divide each term by 7 and simplify.

Divide each term in 7y=-10-4x by 7.

7y7=-107+-4×7

Cancel the common factor of 7.

Cancel the common factor.

7y7=-107+-4×7

Divide y by 1.

y=-107+-4×7

y=-107+-4×7

Simplify -107+-4×7.

Simplify each term.

Move the negative in front of the fraction.

y=-107+-4×7

Move the negative in front of the fraction.

y=-107-4×7

y=-107-4×7

Reorder -107 and -4×7.

y=-4×7-107

y=-4×7-107

y=-4×7-107

Rewrite in slope-intercept form.

y=-47x-107

y=-47x-107

Using the slope-intercept form, the y-intercept is -107.

b=-107

Find the Y-Intercept 4x+7y=-10