Let's solve for $y$ using the given equation $y = 3x - 4$, for $x = 0$ first.

When $x = 0$: $y = 3(0) - 4 = -4$ Thus, when $x = 0$, $y = -4$.

Now, I will compute the values of $y$ for the given values of $x = -3, -2, -1, 0, 1, 2, 3$.

Values of $y$ for each $x$:

• For $x = -3$: $y = 3(-3) - 4 = -9 - 4 = -13$
• For $x = -2$: $y = 3(-2) - 4 = -6 - 4 = -10$
• For $x = -1$: $y = 3(-1) - 4 = -3 - 4 = -7$
• For $x = 0$: $y = -4$
• For $x = 1$: $y = 3(1) - 4 = 3 - 4 = -1$
• For $x = 2$: $y = 3(2) - 4 = 6 - 4 = 2$
• For $x = 3$: $y = 3(3) - 4 = 9 - 4 = 5$

Now we have the points: $(-3, -13), (-2, -10), (-1, -7), (0, -4), (1, -1), (2, 2), (3, 5)$

Would you like me to plot the graph for these points?