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
