The equation you provided is a linear equation in two variables, $x$ and $y$. To work with this equation, we can solve it for one of the variables in terms of the other, or we can treat it as a system of equations if another equation is provided. Here's one possible approach:

Solving for $y$:

We can express $y$ in terms of $x$: $7x + 5y = -10$ Subtract $7x$ from both sides: $5y = -7x - 10$ Now, divide everything by 5: $y = \frac{-7x - 10}{5}$ This is the equation of a straight line in slope-intercept form, where the slope is $\frac{-7}{5}$ and the y-intercept is $-2$.

Would you like further details on graphing this, solving for $x$, or working with another equation?

Related Questions:

1. What is the slope and y-intercept of the line $7x + 5y = -10$?
2. How would you graph the equation $7x + 5y = -10$?
3. If $x = 0$, what is the value of $y$ in the equation $7x + 5y = -10$?
4. If $y = 0$, what is the value of $x$ in the equation $7x + 5y = -10$?
5. How do we find the point of intersection between two linear equations?

Tip:

When working with linear equations, expressing one variable in terms of the other is a helpful step to either graph the equation or solve systems of equations.