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Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 6y = 12 + 2x - 4y$.

 Oct 5, 2023
 #1
avatar+36923 
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y-axis intercept occurs when x = 0 

    3(0) -6y = 12 + 2(0) - 4y 

          -2y = 12 

             y = -6                y intercept = (0,-6) 

x axis intercept occurs when y = 0 

   3x - 6(0) = 12 + 2x - 4(0) 

       x = 12                      x intercept = (12, 0 )

 

 

Using Pythagorean theorem    d^2 = (-6)^2 + 12^2 

                                                 d = sqrt (180)  = 6 sqrt (5) 

 Oct 5, 2023

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