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