Question

8x + y = –17

Answer 1

The equation you've provided, \( 8x + y = -17 \), is a linear equation in two variables, \( x \) and \( y \). Here are a few ways to work with this equation:

### 1. **Solve for y:**
If you want to express \( y \) in terms of \( x \), you can rearrange the equation:

\[
y = -17 - 8x
\]

### 2. **Find x-intercept and y-intercept:**
- **x-intercept:** Set \( y = 0 \) and solve for \( x \):

\[
8x = -17 \\
x = -\frac{17}{8}
\]

- **y-intercept:** Set \( x = 0 \) and solve for \( y \):

\[
y = -17
\]

### 3. **Graph the equation:**
You can graph the equation using the intercepts. The x-intercept is \( (-\frac{17}{8}, 0) \), or approximately \( (-2.125, 0) \), and the y-intercept is \( (0, -17) \). Plot these points on the Cartesian plane and draw a straight line through them.

### 4. **Check for specific values:**
If you plug in a specific value for \( x \), you can find the corresponding value of \( y \) (or vice versa). For example, if \( x = 1 \):

\[
y = -17 - 8(1) = -25
\]

If you have any specific questions or need further operations with this equation, feel free to ask!