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!