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Find the distance between the x-intercept and the y-intercept of the graph of the equation 3x - 6y = 18.

 Jun 20, 2021
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The x-intercept occurs when y=0.  x-intercept is (6, 0)

 

The y-intercept occurs when x=0.  y-intercept is (0, -3)

 

Applying the distance formula/Pythagorean theorem, we have the distance between the points to be \(\sqrt{9+36}\), or \(\sqrt{45}\), equal to \({3}\sqrt{5}\)

 Jun 20, 2021

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