A Very Special Slope

<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-a-very-special-slope">A Very Special Slope Exercise</a></p><p>The line denoted by the equation $y=x$ has <span style="color:#27ae60;">A Very Special Slope</span>, especially when referring to Quadrant I. Let&#39;s first calculate the slope of this line using two points located on it: $(3, 3)$ and $(7,7)$:</p> <p>$$\frac{7-3}{7-3} = \frac{4}{4} = 1$$</p> <p>So the equation $y=x$ has a slope of $1$.</p> <p><strong><span style="color:#8e44ad;">Why is this slope special?</span></strong></p> <p>It&#39;s special because, in Quadrant I, every point <span style="color:#27ae60;">ABOVE</span> this line has the property where the $y$-coordinate is always greater than the $x$-coordinate ($y &gt;x$). And every point <span style="color:#e74c3c;">BELOW</span> this line, still in Quandrant I, has the property where the $x$-coordinate is greater than the $y$-coordinate ($x &gt; y$). 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