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Line M is represented by the equation y = 2x – 10. Line K passes throughpoints (-6, 13) and (2, 9). What is the x-value of the solution to the system of equations?

 

 Feb 17, 2021
 #1
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(-6, 13)  (2,9)  are on  K

Slope of K    =  (13-9)  /( -6 - 2)  =  4 / -8   =  -1/2

Equation of  K  is

y =(-1/2) ( x -2)  + 9

y  = (-1/2) x + 1  + 9

y  = (-1/2) x  +  10 

 

Set  L  = K

 

2x -10   =(-1/2)x  + 10

 

2x  + (1/2) x  = 10  + 10

 

(5/2)x    =20

 

x = 20  (2/5)    =    8

 

 

 

cool cool cool

 Feb 17, 2021

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