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.

Learn how to solve the linear equation 7x + 5y = -10 by expressing y in terms of x. This step-by-step guide explains the slope-intercept form and includes key concepts like the slope and y-intercept. Ideal for students in Grades 8-10.

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