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The equation of the line below can be expressed in the form
\frac{x}{a} + \frac{y}{b} = 1.
Find a.
The lines passes through (5,8) and (-4,17).

 Oct 24, 2024
 #1
avatar+37159 
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Find slope between the two points   m = (y1-y2) / (x1-x2) 

                                                          m = (8-17) / ( 5 - -4)  = -9/9 = - 1 

 

Point slope form is then (pick either point) 

        y-8 = -1 (x-5) 

          re-arrange 

           y-8 = - x + 5 

           x + y = 13     Divide by 13 

         1/13 x   + 1/13 y = 1                 then a = 13      Done. 

 Oct 24, 2024

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