Question

Use absolute value to write a rule for determining the

Answer 1

Answer:

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

Step-by-step 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)