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

Rewrite in Slope-Intercept Form 5x-4y=12