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If the graph of the line y = ax + b passes through the points (4,5) and (8,-17), what is a - b?

 Apr 6, 2022
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a = the slope =    [ -17-5 ] / [ 8 -4]  =  -22 / 4  =  -11/2

 

b = the y intercept

 

So  using (4,5)  the equation of the line is

 

y = ( -11/2)(x - 4)  + 5

 

y = (-11/2)x  + 22 + 5

 

y = (-11/2)x + 27

 

b = 27

 

a - b  = 

 

-11/2  -27   =

 

-11/2  - 54/2  =

 

- 65 / 2

 

 

cool cool cool

 Apr 6, 2022

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