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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).

 Aug 29, 2024
 #1
avatar+37147 
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Find slope    m = (8-17) / (5- -4) = -9/9 = -1 

y = mx + b    then becomes 

 y = -x + b    sub ineither of the points to solve for b = 13 

y = -x + 13 

x+y = 13 

1/13 x  +  1/13  y  = 1          a = 1/13 

 Aug 29, 2024

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