Answer:
[tex]\large\boxed{y=-\dfrac{4}{3}x-2}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation
[tex]-3y=4x-6[/tex]
Convert to the slope-intercept form:
[tex]-3y=4x-6[/tex] divdie both sides by (-3)
[tex]\dfrac{-3y}{-3}=\dfrac{4x}{-3}+\dfrac{6}{-3}\\\\y=-\dfrac{4}{3}x-2[/tex]
