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712d3a09-1b64-419c-8411-865a9503c2c3.html
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<h4>Activity</h4>
<p><strong>Three Different Forms of Linear Equations</strong></p>
<p>Work with a partner to answer questions 1-3.</p>
<br>
<!--Q#1-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="185b3d4b-595d-428b-95ea-bf5203d22a5d" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent">
<li> What is the slope-intercept form of a linear equation? </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>\(y = mx + b\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#2-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="e8fc04e8-1578-439f-a04b-dfe28c6f61fb" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="2">
<li> What is the point-slope form of a linear equation? </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>\(y -y_1= m (x -x_1 )\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#3-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="7e2c8695-2b81-4c37-b2fc-a78759f67699" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="3">
<li> What is the standard form of a linear equation? </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>\(Ax + By = C\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<p><strong>Using the Different Forms to Write Equivalent Equations</strong></p>
<p>Linear equations can be written in the different forms to create linear equations. Use the linear equation forms from questions 1-3 to help you complete the rest of the activity. Remember to show all of your work on your paper and to use inverse operations to move terms to different sides of the equation.</p>
<p>For questions 4-5, use the equation \(y-4=3(x+1)\).</p>
<br>
<!--Q#4-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="248301ca-68c8-4af2-9268-a9f3413ad938" 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 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>\(y=3x+7\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#5-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="670188b2-9a48-431b-a0b9-db7a2994fbbd" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="5">
<li> Write the equation in standard 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>\(3x-y = -7\)</p>
</div>
</div>
<!--Interaction End -->
<br>
<br>
<!--Q#6-->
<div class="os-raise-ib-input" data-button-text="Solution" data-content-id="c75468a1-5fb1-44ee-9941-422b0bd23c56" data-fire-event="eventShow" data-schema-version="1.0">
<div class="os-raise-ib-input-content">
<ol class="os-raise-noindent" start="6">
<li> Write \(4x -6y =12\) 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>\(y=\frac{4}{6}x-2\) orb \(y=\frac{2}{3}x-2\)</p>
</div>
</div>
<!--Interaction End -->