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=[tex]\sqrt{(X2-X1)^{2} + (Y2-Y1)^{2} }[/tex]
Putting into the formula,
L=8 and (X1, Y1)=(1,-4) and (X2,Y2)=(1,Y2)
[tex]L=\sqrt{(X2-X1)^{2} + (Y2-Y1)^{2} }[/tex]
[tex]8=\sqrt{(1-1)^{2} + (Y2-(-4))^{2} }[/tex]
[tex]64=(Y2-(-4))^{2}[/tex]
[tex]8=(Y2+4)[/tex]
[tex]Y2=4[/tex]
Thus, the two points are (1,-4) and (1,4)
