Answer: x=-6
Explanation:
The equation for finding the slope of a line
m=(y2-y1)/(x2-x1)
m=slope=-1/2=-0.5
Let (x1, y1)=(2,4)
Let (x2, y2)=(x,8)
Substituting them into the above formula gives us the following:
-1/2=(8-4)/(x-2)
-1/2=4/(x-2)
To solve for x we need to get the x-2 on the top line
To do this we need to multiply both sides by x-2
-1/2(x-2)=4/(x-2) *(x-2)
Expand Left side we get
-0.5x+1=4
To solve for x we subtract 1 from both sides
-0.5x=3
We need to get x on its own
We divide both sides by -0.5
(-0.5x)/-0.5=3/(-0.5)=-6