Answer:
[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]
Step-by-step explanation:
First you need to solve the expression in order to get the expression in Slop-Intercept Form:
[tex]y = mx + b[/tex]
-The following equation:
[tex]-6y + 4x = 5[/tex]
Solve:
[tex]-6y + 4x = 5[/tex]
[tex]-6y + 4x - 4x = 5 - 4x[/tex]
[tex]-6y = 5 - 4x[/tex]
[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]
[tex]y = \frac{5 - 4x}{-6}[/tex]
[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]
Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].