17x + 5y = –19

1 answer

The equation you've provided is a linear equation in two variables, \( x \) and \( y \).

To express \( y \) in terms of \( x \) (or vice versa), we can rearrange the equation.

Starting with the given equation:

\[ 17x + 5y = -19 \]

  1. Isolate \( y \): \[ 5y = -19 - 17x \]

  2. Divide every term by 5 to solve for \( y \): \[ y = -\frac{19}{5} - \frac{17}{5}x \]

Now, the equation can be rewritten as:

\[ y = -\frac{17}{5}x - \frac{19}{5} \]

This is the slope-intercept form of the equation \( y = mx + b \), where:

  • \( m = -\frac{17}{5} \) (the slope)
  • \( b = -\frac{19}{5} \) (the y-intercept)

If you need to graph this equation or find specific values for \( x \) or \( y \), please let me know!