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Find the distance between the x-intercept and the y-intercept of the graph of the equation 2x - 5y = 10.

 Feb 24, 2020
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2x - 5y = 10

 

x-intercept:  2*x - 5*0 = 10   so x = 5   x-intercept at point (5, 0)

 

y-intercept:  2*0 - 5*y = 10 so y = -2    y-intercept at point (0, -2)

 

Use Pythagoras to find distance between them:  r = √[(0-5)2 + (-2-0)2]

 Feb 24, 2020

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