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      <text>2.5.3.1 The equation of a straight line through two points</text>
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      <text><![CDATA[<h3 style="text-align: left;">The equation of a straight line through two points </h3>

<p>The equation of the line passing through the points with coordinates \(A=(x_1, y_1)\) and \(B=(x_2,y_2)\) is given by the following formula.</p>
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<h4>Key Point</h4>
<p>The equation of the line passing through two points, \(A=(x_1, y_1)\) and \(B=(x_2, y_2)\), is given by:</p>
<p style="text-align:center;">\(\displaystyle \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}\)
&emsp; or, equivalently &emsp;
\(\displaystyle y - y_1 = \left(\frac{y_2 - y_1}{x_2 - x_1}\right)(x - x_1)\).</p>
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