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21c54b89-6d9d-42d5-8216-fb00b4adefcc.html
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<h4>Activity</h4>
<p>The line \( x = 5 \) and the point \( (3, -2) \) are shown on the graph.</p>
<img alt class="atto_image_button_text-bottom" height="321" role="presentation" src="https://k12.openstax.org/contents/raise/resources/6ab4e4d44454ea9de34c2ec04510c0d814f5dde7" width="324"> <br>
<br>
<p>Work with a partner to complete the tasks:</p>
<br>
<!--Q#1-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="f790950e-3d31-4bcd-a413-65c8befc584e" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent">
<li>Identify the slope of the original line, \( l \).</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>Undefined</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#2-->
<ol class="os-raise-noindent" start="2">
<li>Use the graphing tool or technology outside the course. Graph line
\(m\) through the point (3, -2) and parallel to line \(l\) using the Desmos tool below. </li>
</ol>
<br>
<div class="os-raise-ib-desmos-gc" data-schema-version="1.0"></div>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal2" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
<!--QUESTION IS OUTSIDE OF INTERACTION DUE TO DESMOS-->
</div>
<div class="os-raise-ib-cta-prompt">
<p>When you have finished graphing, then select the <strong>solution</strong> button to compare your work.</p>
</div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal2">
<p>Compare your answer:</p>
<p> <img alt class="atto_image_button_text-bottom" height="321" role="presentation" src="https://k12.openstax.org/contents/raise/resources/762f45c5cbd883257d776bc76f6454e4ad8409f3" width="324"></p>
</div>
<!--Interaction End -->
<br>
<p>Then,</p>
<br>
<br>
<!--Q#3-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="c3a45d71-6842-4d2a-83fe-269ef114de52" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>Identify the slope of the new line, \( m \). </li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>Undefined</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#4-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="39965831-589b-497f-a617-216c60a13e97" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4">
<li>Write the equation of the new line, \( m \).</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\( x = 3 \)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#5-->
<ol class="os-raise-noindent" start="5">
<li>Use the graphing tool or technology outside the course. Graph line
\( n\) through the point \((3, -2)\) and perpendicular to line \(l\) using the Desmos tool below.</li>
</ol>
<br>
<div class="os-raise-ib-desmos-gc" data-schema-version="1.0"></div>
<br>
<div class="os-raise-ib-cta" data-button-text="Solution" data-fire-event="Reveal1" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
<!--QUESTION IS OUTSIDE OF INTERACTION DUE TO DESMOS-->
</div>
<div class="os-raise-ib-cta-prompt">
<p>When you have finished graphing, then select the <strong>solution</strong> button to compare your work.</p>
</div>
</div>
<div class="os-raise-ib-content" data-schema-version="1.0" data-wait-for-event="Reveal1">
<p>Compare your answer:</p>
<p> <img alt class="atto_image_button_text-bottom" height="325" role="presentation" src="https://k12.openstax.org/contents/raise/resources/e594bdd5cfed921499039c666e33efea172080ba" width="339"></p>
</div>
<!--Interaction End -->
<br>
<p>Then,</p>
<br>
<!--Q#6-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="00a7a9d2-aba4-42b3-844a-bdc42f449dcf" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="6">
<li>Identify the slope of the new line, \( n \). </li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>0</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#7-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="0c7c62f4-bce4-444d-b41a-3554671fd771" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="7">
<li>Write the equation of the new line, \( n \).</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\( y = -2 \)</p>
</div>
</div>
<p>The original line \(l\) and the line \(m\) that you created are both parallel to the \(y\)-axis and perpendicular to the \(x\)-axis. It follows, then, that line n is parallel to the \(x\)-axis and perpendicular to the \(y\)-axis.</p>
<!--Interaction End -->
<br>
<!--Q#8-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="9085ff91-9e65-4df2-a7ec-25bb0c9020b0" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="8">
<li>Write the equation of a line that is parallel to the \(y\)-axis and passing through \((-2, -5)\).</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\( x = -2 \)</p>
</div>
</div>
<!--Interaction End -->
<br>
<!--Q#9-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="d7994636-ce53-4036-9807-352d65e35261" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="9">
<li>Write the equation of a line that is perpendicular to the \(y\)-axis and passing through \((1, 5)\).</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\( y = 5 \)</p>
</div>
</div>
<!--Interaction End -->
<br>
<!--Q#10-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="b52ade49-ffd1-4674-aa3e-6c424ffb14a9" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="10">
<li>Write the equation of a line parallel to the \(x\)-axis and passing through \((3, 4)\). </li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>\( y = 4 \)</p>
</div>
</div>
<!--Interaction End -->
<br>
<!--Q#11-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="3db327ab-aee6-4ca2-95f2-6c74a6ae3c7b" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="11">
<li>How does the line described as “parallel to the \(x\)-axis and passing through \((3, 4)\)” relate to the \(y\)-axis? Will it always, sometimes, or never be perpendicular to it?
<li>
</li>
</li>
</ol>
</div>
<div class="os-raise-ib-input-prompt">
<p>Enter your answer here:</p>
</div>
<div class="os-raise-ib-input-ack">
<p>Compare your answer:</p>
<p>Always perpendicular.</p>
</div>
</div>
<!--Interaction End -->
<br>