4x-3y=13

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.

-3y=13-4x

Divide each term by -3 and simplify.

Divide each term in -3y=13-4x by -3.

-3y-3=13-3+-4x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=13-3+-4x-3

Divide y by 1.

y=13-3+-4x-3

y=13-3+-4x-3

Simplify 13-3+-4x-3.

Simplify each term.

Move the negative in front of the fraction.

y=-133+-4x-3

Dividing two negative values results in a positive value.

y=-133+4×3

y=-133+4×3

Reorder -133 and 4×3.

y=4×3-133

y=4×3-133

y=4×3-133

Rewrite in slope-intercept form.

y=43x-133

y=43x-133

Using the slope-intercept form, the y-intercept is -133.

b=-133

Find the Y-Intercept 4x-3y=13