Answer:
A. [tex]-\frac{7}{3}[/tex]
Step-by-step explanation:
We have been given that the point [tex](-\frac{1}{2},y)[/tex] lies on the line whose equation is [tex]2x-3y=6[/tex]. We are asked to find the value of y.
To find the value of y, we will substitute [tex]x=-\frac{1}{2}[/tex] in our given equation as:
[tex]2(-\frac{1}{2})-3y=6[/tex]
[tex]-1-3y=6[/tex]
[tex]-1+1-3y=6+1[/tex]
[tex]-3y=7[/tex]
[tex]\frac{-3y}{-3}=\frac{7}{-3}[/tex]
[tex]y=-\frac{7}{3}[/tex]
Therefore, the value of y is [tex]-\frac{7}{3}[/tex]
