478333eb-77e7-447b-875d-671aed9b7932.html

<h4>Video: Using Standard Form</h4>
<p>Watch the following video to learn more about using standard form to find slope and \(y\)-intercepts.</p>
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      <source src="https://k12.openstax.org/contents/raise/resources/edbb051759cb0172b477b8efd411dd2da144c39c">
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      https://k12.openstax.org/contents/raise/resources/edbb051759cb0172b477b8efd411dd2da144c39c
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<h4>Try It: Using Standard Form</h4>
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        <li>Find the slope for \( 5x - y =15 \). <br>
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      <p>Enter your answer here.</p>
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      <p>Correct! 5</p>
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      <p>Nice try! The correct answer is 5.</p>
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        <li>Find the \(y\)-intercept for \( 5x - y =15 \). <br>
        </li>
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      <p>Enter your answer here.</p>
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    <div class="os-raise-ib-pset-correct-response">
      <p>Correct! -15</p>
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      <p>Nice try! The correct answer is -15.</p>
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      <li>Explain your reasoning. <br>
      </li>
    </ol>
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    <p>Enter your answer here:</p>
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    <p>Compare your answer:</p>
    <p><strong>Strategy 1: Solve for \(y\).</strong></p>
    <p><strong>Step 1</strong> - Subtract the \(x\) term from both sides.<br>
      Subtract \(5\) from both sides.<br>
      \(5x - 5x - y =15 -5x\)</p>
    <p><strong>Step 2 </strong>- Simplify.<br>
      \(- y =15 -5x\)</p>
    <p><strong>Step 3</strong> - Divide both sides by the coefficient of \(y\).<br>
      Divide both sides by \(-1\).<br>
      \(\frac{-y}{-1}=\frac{15\ -5x}{-1}\)</p>
    <p><strong>Step 4</strong> - Simplify.<br>
      \(y = 5x -15\)<br>
      The slope is the coefficient of \(x\), so the slope is 5. The \(y\)-intercept is the constant, which is &minus;15.<br>
      <br>
      <strong>Strategy 2: Use standard form. </strong>
    </p>
    <p><strong>Step 1</strong> - Identify A, B, and C.<br>
      In \( 5x - y =15 \), \( A=5 \), \( B = -1 \), \( C =15 \).<br>
      Slope: \( -\frac{A}{B}=-\frac{5}{-1}=5 \)<br>
      \( y \)-intercept: \( \frac{C}{B}=\frac{15}{-1}=-15 \) </p>
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