savannnab3821 savannnab3821
  • 14-09-2019
  • Mathematics
contestada

Find x if a line passes through the points ( 3 , -14 ) and ( x , 6 ) with a slope of -4

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JeanaShupp
JeanaShupp JeanaShupp
  • 16-09-2019

Answer:  -8

Step-by-step explanation:

The slope of a line passing through two points (a,b) and (c,d) is given by:-

[tex]m=\dfrac{d-b}{c-a}[/tex]

Given : A line passes through the points ( 3 , -14 ) and ( x , 6 ) with a slope of -4, then we have

[tex]-4=\dfrac{6-(-14)}{x-3}\\\\\Rightarrow\ (x-3)(-4)=6+14\\\\\Rightarrow\ -4(x-3)=20\\\\\Rightarrow\ (x-3)=\dfrac{20}{-4}=-5\\\\\Rightarrow\ x-3=-5\\\\\Rightarrow\ x=-5-3=-8[/tex]

Hence, the value of x= -8

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