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
