Respuesta :

X is equal to zero because the equation for slope is the change in Y/change in x.
If we plug in the known values and set the equation equal to -2, x is 0. (4-8/2-x=-2 , 4-8/2-0= -4/2 or -2).

You can ask me any questions if my explanation what confusing haha.
gmany

Answer:

x = 0

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

the points (2, 4) and (x, 8)

the slope m = -2

Substitute:

[tex]-2=\dfrac{8-4}{x-2}[/tex]

[tex]-2=\dfrac{4}{x-2}[/tex]

[tex]\dfrac{-2}{1}=\dfrac{4}{x-2}[/tex]         cross multiply

[tex]-2(x-2)=(1)(4)[/tex]

[tex]-2(x-2)=4[/tex]          divide both sides by (-2)

[tex]\dfrac{-2(x-2)}{-2}=\dfrac{4}{-2}[/tex]

[tex]x-2=-2[/tex]            add 2 to both sides

[tex]x-2+2=-2+2[/tex]

[tex]x=0[/tex]