To find the x-intercept, we set y=0 and solve for x:
[tex]\begin{gathered} 3x-2\cdot0=6, \\ 3x=6, \\ \frac{3x}{3}=\frac{6}{3}, \\ x=2. \end{gathered}[/tex]
Therefore, the coordinates of the x-intercept are (2,0).
Now, to find the y-intercept, we set x=0 and solve for y:
[tex]\begin{gathered} 3\cdot0-2y=6, \\ -2y=6, \\ \frac{-2y}{-2}=\frac{6}{-2}, \\ y=-3. \end{gathered}[/tex]
Therefore, the coordinates of the y-intercept are (0,-3).
Answer:
