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The equation of line s is x + 8y = –8 . Parallel to line s is line t , which passes through the point (5, –1) . What is the equation of line t ?

 Mar 25, 2021
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x +  8y =  - 8

 

8y  =  -x  - 8          divide  through  by 8

 

y  = (-1/8)x    -  1

 

Since  they are parallel ....slope of s = slope of t =  -1/8

 

So  the equation for  t  is

 

y =(-1/8) (x -5) -  1             multiply yhrough by 8

 

8y = - (x - 5) - 8

 

8y = -x + 5  - 8

 

x  + 8y  =  -3

 

cool cool cool

 Mar 25, 2021

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