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b2305263-ec8e-4e7c-b597-b17d8adeec29.html
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<h4>Activity</h4>
<br>
<!--Q#1-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="62b8430f-9a93-4e76-922d-980dc6d02465" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent">
<li>Find the equation of the line using point-slope form: \(m = 2\), \((3,1)\)</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>
<br>
<!--Q#2-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="7c55b080-8836-40f0-8a69-5a94add63a6e" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2">
<li>Rewrite your equation from Question 1 in slope-intercept form.</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>\(y = 2x − 5\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<p>\(y − 1 = 2(x − 3)\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#3-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="bce2d7bd-fde9-4a6f-b902-3e161ec4e708" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li>Find the equation of the line using point-slope form: \(m = 2\), \((−1,4)\)</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 = 2(x + 1)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#4-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="75d444bd-18a1-44ca-9c19-8efa195226b1" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="4">
<li>Rewrite your equation from Question 3 in slope-intercept form.</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>\(y = 2x + 6\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#5-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="28064fd9-61eb-43e9-a5ac-b7ff51df283f" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="5">
<li>Find the equation of the line using point-slope form: \(m = −4\), \((2,1)\)</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>\(y − 1 = −4(x − 2)\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#6-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="3714348d-401c-463c-b90a-fed817945d8d" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="6">
<li>Rewrite your equation from Question 5 in slope-intercept form.</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>\(y = −4x + 9\)</p>
<br>
<div class="os-raise-graybox">
<p>Parallel lines are lines that have the same slope. Because they have the same slope, they will never touch, or intersect. </p>
</div>
<br>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#7-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="727d7656-fc0a-4efc-a8bb-0ab779ab1eb1" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="7">
<li>Find the equation of the line using point-slope form: \(m = −4\), \((3,−2)\)</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>\(y + 2 = −4(x − 3)\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#8-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="a22c77bd-4275-4e3b-baa0-9c10b66404a8" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="8">
<li>Rewrite your equation from Question 7 in slope-intercept form.</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>\(y = −4x + 10\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#9-->
<ol class="os-raise-noindent" start="9">
<li> Use the graphing tool or technology outside the course. Graph your equations from questions 2 and 4 on the same graph 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="Reveal9" 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="Reveal9">
<p>Compare your answer:</p>
<p>
<img alt="Graphs of y = 2x-5 and y = 2x + 6." src="https://k12.openstax.org/contents/raise/resources/fc1224cb89d5207ff4f6f2fbb206caff4aa85b22" width="300">
</p>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#10-->
<ol class="os-raise-noindent" start="10">
<li>Use the graphing tool or technology outside the course. Graph your equations from questions 6 and 8 on the same graph 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="Reveal10" data-schema-version="1.0">
<div class="os-raise-ib-cta-content">
</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="Reveal10">
<p>Compare your answer:</p>
<p>
<img alt="Graphs of y = -4x+9 and y = -4x + 10." src="https://k12.openstax.org/contents/raise/resources/f5a82ea2ca1d89633fc3c46fb6eaefe77b928424" width="300">
</p>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#11-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="14cc3fe7-2caf-46cf-82fe-23a789094a05" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="11">
<li>What is the same about the equations given in questions 2 and 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>The slopes are the same. They are both 2. </p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#12-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="9da1e069-97da-4e22-9974-60d99756c644" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="12">
<li>What is the same about the equations given in questions 6 and 8?</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>The slopes are the same. They are both -4.</p>
</div>
</div>
<!--Interaction End -->