Perpendicular Slope 965617

1. **State the problem:** We need to find the slope of a line perpendicular to the line given by the equation $$x - y = 3$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercept form is $$y = mx + b$$, where $$m$$ is the slope. Starting with $$x - y = 3$$: $$-y = -x + 3$$ Multiply both sides by $$-1$$: $$y = x - 3$$ 3. **Identify the slope of the given line:** From $$y = x - 3$$, the slope $$m$$ is $$1$$. 4. **Find the slope of the perpendicular line:** The slope of a line perpendicular to another is the negative reciprocal of the original slope. The negative reciprocal of $$1$$ is: $$-\frac{1}{1} = -1$$ 5. **Final answer:** The slope of the line perpendicular to the given line is $$\boxed{-1}$$.