5x-4y=-12

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.

-4y=-12-5x

Divide each term by -4 and simplify.

Divide each term in -4y=-12-5x by -4.

-4y-4=-12-4+-5x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=-12-4+-5x-4

Divide y by 1.

y=-12-4+-5x-4

y=-12-4+-5x-4

Simplify -12-4+-5x-4.

Simplify each term.

Divide -12 by -4.

y=3+-5x-4

Dividing two negative values results in a positive value.

y=3+5×4

y=3+5×4

Reorder 3 and 5×4.

y=5×4+3

y=5×4+3

y=5×4+3

Rewrite in slope-intercept form.

y=54x+3

y=54x+3

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

b=3

Find the Y-Intercept 5x-4y=-12