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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).

 Jul 24, 2024
 #1
avatar+37044 
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First, find the slope as  (y1-y2) /( x1-x2) = (8-17)/(5 - -4) =  (-9)/(9) = - 1

 

Then the line in mx+b form is 

    y = (-1) x + b     sub in the values of either point to find b = 13

 

so the equation becomes 

    y = -x + 13     re-arrange 

  x +y = 13      divide thru by 13 

  1/13x  +  1/13 y  =1 

 Jul 24, 2024

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