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avatar+826 

The equation of the line below can be expressed in the form
\frac{x}{a} + \frac{y}{b} = 1.
Find a.

 

 Aug 4, 2024
 #1
avatar+37146 
+1

Use the two labelled points to calculate the slope  =   (-5-4) / ( -1 -5) =  9/6 

In   y = mx + b form this becomes     y = 9/6 x + b     sub in any point on the line to find b = - 3.5 

 

so the line is      y = 9/6 x - 3 1/2     re-arrange 

                          - 9/6 x + y = - 3 1/5 

                                                              divide thru by - 3 1/2 

                             3/7 x  - 2/7 y  = 1      so a = 3/7 

 Aug 4, 2024

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