20 ! for what value of x will the line passing through the following pairs of points be vertical? f(3−2x, 12) and g(x+9, 7)

The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2

For two points (X₁, Y₁) and (X₂, Y₂) to form a vertical line, the x-coordinates must be equal

The given points are F(3-2x, 12) and G(x+9, 7)

X₁ = 3 - 2x

X₂ = x + 9

For the points to form a vertical line:

X₁  =  X₂

3  -  2x    =  x   +  9

Collect like terms

x  +  2x   =  3   -  9

3x    =   -6

Divide both sides by 3

3x / 3  =  -6/3

x    =   -2

The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2

Learn more here: link

x = -2

Step-by-step explanation:

vertical line means it will be x = ___

Set the x-values equal to each other and solve for x.

3 - 2x = x + 9

   +2x +2x    

3        = 3x + 9

-9                -9

-6       =3x

     -2 = x