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Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 7y = 21$.

 Jun 28, 2020
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To find the y-intercept, we plug 0 into the given equation for x.

 

3x-7y=21

3(0)-7y=21

-7y=21

y=-3

The y intercept is (0, -3).

 

To find the x-intercept, we plug 0 into the given equation for y.

 

3x-7y=21

3x-7(0)=21

3x=21

x=7

The x-intercept is (7, 0).

 

Plugging these values into the distance formula, the answer is \(\sqrt{58}\).

 Jun 28, 2020

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