<p>What is an ordered pair?</p>
<p>A coordinate point.</p>
<p>say 2x + 3y < 20</p>
<pre><code>is this illegal (1,1) (1,2) (1,3)?
</code></pre>
<p>The solutions you mentioned are all possible answers to the inequality you provided.</p>
<p>What is the perpendicular line to the equation y = 3x + 5</p>
<pre><code> y= -1/3x - 5 ?
</code></pre>
<p>y = -1/3x. The y-intercept could be anything, not specifically -5; they’d need to tell you a specific point of intersection for you to solve it.</p>
<p>Whenever you need the equation of a line perpendicular to the line you have, take the negative reciprocal of the slope.</p>
<p>I know the negative reciprocal thing.</p>
<p>BUT WHAT DO YOU DO WITH THE Y-intercept?</p>
<p>So if the equation is y= 3x + 5 </p>
<p>all of the following are correct answers for the line perpendicular to it?</p>
<p>a) y =-1/3x+5
b) y= -1/3x
c) y= -1/3x -5</p>
<p>
Yes. Indeed. As long as it has the correct slope, ANY y-int will work.</p>