55eb311e-d2b9-46c1-a643-66eecb5282a2.html

<h4>Cool Down Activity</h4>
<p>For numbers 1&ndash;3, consider the equation \(1.5x + 4.5y = 18\).</p>
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    <ol class="os-raise-noindent">
      <li>If we graph the equation, what is the slope of the graph?</li>
    </ol>
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    <p>Enter your answer here:</p>
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  <div class="os-raise-ib-input-ack">
    <p>Compare your answer:</p>
    <p>The slope is \( -\frac{1}{3} \). Rearranging the equation to isolate \( y \) gives \( y=-\frac{1}{3}x\ +\ 4 \).</p>
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<div class="os-raise-ib-input" data-button-text="solution" data-content-id="2951c0fd-4097-4002-8300-3b7a5315ae49" data-schema-version="1.0">
  <div class="os-raise-ib-input-content">
    <ol class="os-raise-noindent" start="2">
      <li>Where does the graph intersect the \( y \)-axis?</li>
    </ol>
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  <div class="os-raise-ib-input-prompt">
    <p>Enter your answer here:</p>
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  <div class="os-raise-ib-input-ack">
    <p>The graph intersects the \(y\)-axis at \( (0, 4) \). The \( 4 \) in \( y=-\frac{1}{3}x+4 \) tells us where the graph crosses the \( y \)-axis.</p>
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<div class="os-raise-ib-input" data-button-text="solution" data-content-id="f3f5b425-ff48-4cef-868f-7d7333fc8bd2" data-schema-version="1.0">
  <div class="os-raise-ib-input-content">
    <ol class="os-raise-noindent" start="3">
      <li>Where does it intersect the \( x \)-axis?</li>
    </ol>
  </div>
  <div class="os-raise-ib-input-prompt">
    <p>Enter your answer here:</p>
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  <div class="os-raise-ib-input-ack">
    <p>The graph intersects the \(x\)-axis at \((12,0)\). Substituting 0 for \(y\) in the original equation and solving for \(x\) gives \(x=12\).</p>
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