4x-3y=-9
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=-9-4x
Divide each term by -3 and simplify.
Divide each term in -3y=-9-4x by -3.
-3y-3=-9-3+-4x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=-9-3+-4x-3
Divide y by 1.
y=-9-3+-4x-3
y=-9-3+-4x-3
Simplify -9-3+-4x-3.
Simplify each term.
Divide -9 by -3.
y=3+-4x-3
Dividing two negative values results in a positive value.
y=3+4×3
y=3+4×3
Reorder 3 and 4×3.
y=4×3+3
y=4×3+3
y=4×3+3
Rewrite in slope-intercept form.
y=43x+3
y=43x+3
Rewrite in Slope-Intercept Form 4x-3y=-9