It's a standard form: Ax + By = C
[tex]3x-4y=12[/tex]
A slop-intercept form: y = mx + b
m - slope
b - y-intercept
Convert from the standard form to the slope-intercept form:
[tex]3x-4y=12[/tex] subtract 3x from both sides
[tex]-4y=-3x+12[/tex] divide both sides by (-4)
[tex]y=\dfrac{-3}{-4}x+\dfrac{12}{-4}\\\\y=\dfrac{3}{4}x-3[/tex]
Answer:
[tex]\boxed{m=\dfrac{3}{4}}[/tex]
