cdb9becc-9214-471a-847c-0ee6827b7da8.html

<p><em><strong>Students will complete the following questions to practice the skills they have learned in this lesson.</strong></em></p>
<p>For numbers 1–2, use the graph below:</p>
<img alt="This figure a shows a straight line graphed on the x y-coordinate plane. The x and y axes run from negative 10 to 10. The line goes through the points (negative 6, negative 8), (negative 4, negative 6), (negative 2, negative 4), (0, negative 2), (2, 0), (4, 2), (6, 4), (8, 6)." src="https://k12.openstax.org/contents/raise/resources/b43d81b1ae710bc8b78c0278758a16ed71d489d9"><br>
<br>
<ol class="os-raise-noindent">
  <li>What are the coordinates of the \(x\)-intercept of the graph?</li>
</ol>
<ul>
  <li>\((0,2)\)</li>
  <li>\((2,0)\)</li>
  <li>\((0,-2)\)</li>
  <li>\((-2,0)\)</li>
</ul>
<p><strong>Answer: </strong>\( (2,0)\)</p>
<ol class="os-raise-noindent" start="2">
  <li>What are the coordinates of the \(y\)-intercept of the graph?</li>
</ol>
<ul>
  <li>\((0,2)\)</li>
  <li>\((2,0)\)</li>
  <li>\((0,-2)\)</li>
  <li>\((-2,0)\)</li>
</ul>
<p><strong>Answer: </strong> \((0,-2)\)</p>
<p>For numbers 3–4, use the graph below:</p>
<img alt="This figure a shows a straight line graphed on the x y-coordinate plane. The x and y axes run from negative 10 to 10. The line goes through the points (negative 6, 6), (negative 3, 4), (0, 2), (3, 0), (6, negative 2), and (9, negative 4)." src="https://k12.openstax.org/contents/raise/resources/7825f9d07108bf3c79a1b240974ac6f172bdfca7"> <br>
<br>
<ol class="os-raise-noindent" start="3">
  <li>What are the coordinates of the \(x\)-intercept of the graph?</li>
</ol>
<ul>
  <li>\((0,2)\)</li>
  <li>\((2,0)\)</li>
  <li>\((0,3)\)</li>
  <li>\((3,0)\)</li>
</ul>
<p><strong>Answer: </strong> (3,0)</p>
<ol class="os-raise-noindent" start="4">
  <li>What are the coordinates of the \(y\)-intercept of the graph?</li>
</ol>
<ul>
  <li>\((0,2)\)</li>
  <li>\((2,0)\)</li>
  <li>\((0,3)\)</li>
  <li>\((3,0)\)</li>
</ul>
<p><strong>Answer: </strong> (0,2)</p>
<ol class="os-raise-noindent" start="5">
  <li>What are the coordinates of the \(x\)-intercept of the equation \(3x + y = 12\)?</li>
</ol>
<ul>
  <li>\((0,12)\)</li>
  <li>\((12,0)\)</li>
  <li>\((4,0)\)</li>
  <li>\((0,4)\)</li>
</ul>
<p><strong>Answer: </strong> (4,0)</p>
<ol class="os-raise-noindent" start="6">
  <li>What is the \(y\)-intercept of the equation \(3x + y = 12\)?</li>
</ol>
<ul>
  <li>\((0,12\))</li>
  <li>\((12,0)\)</li>
  <li>\((4,0)\)</li>
  <li>\((0,4)\)</li>
</ul>
<p><strong>Answer: </strong> (0,12)</p>
<ol class="os-raise-noindent" start="7">
  <li>What is the slope of the line \(3x- 2y=6\).</li>
</ol>
<p><strong>Answer: </strong> \(\frac32\)</p>
<ol class="os-raise-noindent" start="8">
  <li>What is the \(y\)-intercept of \(y = 6x + 2\)? </li>
</ol>
<p><strong>Answer: </strong> 2. In \(y = mx + b\), the \(b\) is the \(y\)-intercept. In this equation, \(b = 2\).</p>
<ol class="os-raise-noindent" start="9">
  <li>What is the \(y\)-intercept of \(10x + 5y = 30\)?</li>
</ol>
<p><strong>Answer: </strong> 6</p>
<ol class="os-raise-noindent" start="10">
  <li>Which graph represents the equation \( 12=3x+4y \)? Explain how you know.</li>
</ol>
<ol type="a">
  <li><br>
    <img alt height="238" role="presentation" src="https://k12.openstax.org/contents/raise/resources/a6168a6019660ea9b265ba1bac0348b9b39141e2" width="238"></li>
  <li><br>
    <img alt class="img-fluid atto_image_button_text-bottom" height="238" role="presentation" src="https://k12.openstax.org/contents/raise/resources/3505fd868a59a904a12adbf1667c928455c2ebcd" width="238"></li>
  <li><br>
    <img alt height="238" role="presentation" src="https://k12.openstax.org/contents/raise/resources/2a2eb8b183db689ad120aa6b36d0452cbbd0dfcf" width="238"></li>
</ol>
<p><strong>Answer: </strong>a<br>
  <img alt height="238" role="presentation" src="https://k12.openstax.org/contents/raise/resources/a6168a6019660ea9b265ba1bac0348b9b39141e2" width="238"></p>
  <p>When \(x = 0\), \(12 = 3(0) + 4y\) gives \(y = 3\). The \(y\)-intercept is at (0, 3). When \(y = 0\), \(12 = 3x + 4(0)\) gives \(x = 4\). The \(x\)-intercept is (4, 0). Graph \(a\) has these intercepts.</p>