The equation given is:

$2x - 3y - 6 = 0$

We can solve for points $(x, y)$ that satisfy this equation. This equation represents a line, and there are infinitely many points that satisfy it. However, if you are looking for specific solutions, we can find some by choosing values for $x$ or $y$ and solving for the other variable.

1. Solving for $y$ when $x = 0$:

$2(0) - 3y - 6 = 0$ $-3y = 6$ $y = -2$ So, one solution is the point $(0, -2)$.

2. Solving for $x$ when $y = 0$:

$2x - 3(0) - 6 = 0$ $2x = 6$ $x = 3$ So, another solution is the point $(3, 0)$.

Therefore, two points that are solutions of the equation are:

• $(0, -2)$
• $(3, 0)$

Would you like more details on solving for specific points or how to interpret this geometrically?

Here are some relative questions:

1. What is the slope of the line given by this equation?
2. How do you find the intercepts of a line?
3. Can we write the equation in slope-intercept form?
4. How would you determine if a point is on the line?
5. What is the general form of a linear equation in two variables?

Tip: To find a solution for an equation involving two variables, try assigning values to one variable and solve for the other!