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# Equation of a Line Using Determinants

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In this lesson, we will learn how to find the equation of a line using determinants. This formula comes from our previous formula that was used to check if three points were collinear. We will change our formula slightly and remove one of the known points. This will be replaced with just x and y. We can then go through the process of finding the determinant and set this result equal to zero. From there, we can solve the equation for y and place the equation in slope-intercept form.

Equation of a Line Using Determinants:

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