<p><span style="font-size:22px"><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-review-of-intercepts">Review of Intercepts Exercise</a></span></p><p>Let's do a <span style="color:#27ae60;">Review of Intercepts</span>. Recall from the mountain entry Useful Vocabulary, the $x$-intercept is the point on the line that crosses the $x$-axis and the $y$-intercept is the point on the line that crosses the $y$-axis.</p>
<p><strong><span style="color:#8e44ad;">Who gives a crap?</span></strong></p>
<p>Good question. The reason why these points are so important is because the $x$-intercept always has a $y$-coordinate of $0$. And, as you can probably deduce, the $y$-intercept always has an $x$-coordinate that equals $0$. That means that we can find the intercepts by setting either $x$ or $y$ equal to $0$ in the equation.</p>
<p><strong><span style="color:#8e44ad;">Example</span></strong></p>
<p>What are the $x$ and $y$ intercepts of the line with the equation $y=2x-4$?</p>
<ul>
<li>To find the $x$-intercept, set $y$ to $0$ and solve</li>
</ul>
<p>$$0 = 2x - 4$$</p>
<p>$$x=2$$</p>
<ul>
<li>To find the $y$-intercept, set $x$ to $0$ and solve</li>
</ul>
<p>$$y = 2(0) - 4$$</p>
<p>$$y=-4$$</p>