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avatar+452 

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

 

 Feb 11, 2025
 #1
avatar+130462 
+1

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

 

Equation of the line

 

y  = (3/2)(x -5 )  +  4        multiply through by 2

 

2y  =  3(x -5) + 8

 

2y  = 3x - 7

 

3x - 2y   = 7          divide through by 7

 

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

 

x / (7/3)  - y / (7/2)  = 1

 

a = 7 /  3

 

cool cool cool

 Feb 11, 2025

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