Question

Use absolute value to write a rule for determining the

distance between two points on a coordinate plane that have the same
x-coordinate.

Answer 1

The two points are (1,-4) and (1,4)

Explanation:

Given that distance between points is 8 units.

Also, Points have the same co-ordinate of x-coordinates.

Let one point be (1,-4)

Distance between two points is given by L=
`\sqrt{(X2-X1)^(2) + (Y2-Y1)^(2) }`

Putting into the formula,

L=8 and (X1, Y1)=(1,-4) and (X2,Y2)=(1,Y2)

`L=\sqrt{(X2-X1)^(2) + (Y2-Y1)^(2) }`

`8=\sqrt{(1-1)^(2) + (Y2-(-4))^(2) }`

`64=(Y2-(-4))^(2)`

`8=(Y2+4)`

`Y2=4`

Thus, the two points are (1,-4) and (1,4)