Question

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

Answer 1

Answer: -8

Explanation:

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

`m=(d-b)/(c-a)`

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

`-4=(6-(-14))/(x-3)\\\\\Rightarrow\ (x-3)(-4)=6+14\\\\\Rightarrow\ -4(x-3)=20\\\\\Rightarrow\ (x-3)=(20)/(-4)=-5\\\\\Rightarrow\ x-3=-5\\\\\Rightarrow\ x=-5-3=-8`

Hence, the value of x= -8