The equation you provided is a linear equation in two variables, $x$ and $y$. To solve for one variable in terms of the other, we can rearrange the equation. Here’s how we can do it for $y$:

Given: $9x - 5y = 10$

Solve for $y$:

1. Start by isolating $5y$: $9x - 10 = 5y$

2. Divide both sides by 5: $y = \frac{9x - 10}{5}$

This is the equation of a straight line in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Would you like more details or a step-by-step explanation?

Here are five related questions:

1. How do we find the slope of a linear equation?
2. What is the graph of this equation?
3. How can we solve for $x$ instead of $y$?
4. What happens if you substitute a specific value for $x$?
5. How can you write this equation in standard form?

Tip: Linear equations can always be graphed as straight lines, where the slope defines the steepness.