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The equation of the line passing through (1,-11) and (-4,5) can be expressed in the form x / a + y / b = 1

Find a.

 Jul 23, 2022
 #1
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y =  mx + b

 

m = slope  =   (5- -11)  /( -4-1)  = -16/5

 

Using the slope and (1,-11)   we have

 

y = (-16/5) (x -1)  -11

 

y = (-16/5)x + 16/5 - 11

 

y = (-16/5)x  - 39/5        

 

(16/5)x + y  =   -39/5         ......    multiply through by  (-5/39)

 

(-16/39)x  - (5/39)y  =  1

 

And we can  write

 

x / ( -39/16)  +  y / ( -39/5)  =  1

 

a =  -39/16

 

 

cool cool cool

 Jul 24, 2022

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