Skip to content

HTTPS clone URL

Subversion checkout URL

You can clone with HTTPS or Subversion.

Download ZIP
Fetching contributors…

Cannot retrieve contributors at this time

55 lines (53 sloc) 2.728 kb
<!DOCTYPE html>
<html data-require="math math-format expressions">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/>
<title>Converting between point slope and slope intercept form</title>
<script src="../khan-exercise.js"></script>
<style type="text/css">
#answer_area input[type=text] {
width: 30px;
}
</style>
</head>
<body>
<div class="exercise">
<div class="problems">
<div id="point-to-intercept">
<div class="vars" data-ensure="y1 != 0">
<var id="m">(random() > 0.5 ? -1 : 1) * (rand(5) + 1)</var>
<var id="b">(random() > 0.5 ? -1 : 1) * (rand(5) + 1)</var>
<var id="x1">(random() > 0.5 ? -1 : 1) * (rand(3) + 1)</var>
<var id="y1">m*x1+b</var>
<var id="var1">m*x1</var>
</div>
<p class="question">Convert the following equation from point slope to slope intercept form.</p>
<p>In other words, if the equation is rewritten to look like <code>y = mx + b</code>, what are the values of <code>m</code> and <code>b</code>?</p>
<p><code>y - <var>y1</var> = <var>m</var>(x - <var>x1</var>)</code></p>
<div class="solution" data-type="multiple">
<p><code>y = \space</code><span class="sol"><var>m</var></span><code>\space \cdot x + \space</code><span class="sol"><var>b</var></span></p>
</div>
<div class="hints">
<div>
<p>Distribute the <code><var>m</var></code> in the <code class="hint_blue"><var>m</var>(x - <var>x1</var>)</code> term on the right.</p>
<p><code>y - <var>y1</var> = \color{<var>BLUE</var>}{<var>expr([ "*", m, "x" ])</var> - <var>var1</var>}</code></p>
</div>
<div>
<p>
Isolate the y term on the left by
<span data-if="y1 < 0">subtracting <code><var>-y1</var></code> from both sides.</span>
<span data-else>adding <code><var>y1</var></code> to both sides.</span>
</p>
<p><code>y = <var>expr([ "*", m, "x" ])</var> - <var>var1</var> + <var>y1</var></code></p>
</div>
<div>
<p>Combine the constant terms on the right.</p>
<p><code>y = <var>expr([ "*", m, "x" ])</var> + <var>b</var></code></p>
<p>The equation is now in slope-intercept form, with a slope of <code><var>m</var></code> and a y-intercept of <code><var>b</var></code>.</p>
</div>
</div>
</div>
</div>
</div>
</body>
</html>
Jump to Line
Something went wrong with that request. Please try again.