Find the Rate of Change: Solving -x+y=0 Linear Equation

To solve this problem, we need to determine the rate of change of the given line equation $-x + y = 0$.

Let's proceed step-by-step:

• Step 1: Identify the given equation, which is $-x + y = 0$.
• Step 2: Rearrange the equation to fit the slope-intercept form $y = mx + b$.
  To do this, add $x$ to both sides:
  $y = x$
• Step 3: Identify the slope $m$.
  In the equation $y = x$, the term $x$ has a coefficient of $1$, which means the slope $m = 1$.
• Step 4: Interpret the result.
  The slope $1$ is the rate of change of the line, meaning for every unit increase in $x$, $y$ increases by 1 unit.

Therefore, the rate of change of the line is $1$.