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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.

 

 Jan 3, 2024
 #1
avatar+126607 
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\(\frac{x}{a} + \frac{y}{b} = 1 \)

 

Slope of line  = [ -5 - 4 ] / [ -1 - 5 ]   =  -9/-6  =  3/2

 

Equation of line   y  =  (3/2)(x - 5)  + 4

 

y = (3/2)x - 7/2      multiply through by -(2/7)

 

-(2/7)y = - (3/7)x + 1

 

(3/7)x - (2/7)y  =   1         and  we  can  write

 

 x/ (7/3)  + y / (-7/2)  = 1

 

a = (7/3)

 

 

cool cool cool

 Jan 3, 2024

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