Right format of question:
Plot two points that are 7 units from Point D and also share the same x-coordinate as Point D.
Answer:
[tex]D' = (-4,-6)[/tex] and [tex]D' = (-4,8)[/tex]
Step-by-step explanation:
Given
[tex]D(x,y) = (-4,1)[/tex]
Required
Determine a point 7 points from D and in the same x coordinate
Represent this point with D'.
From the requirement of the question, D' has two possible values and these values are:
[tex]D' = D(x,y-7)[/tex] ----> 7 units down and
[tex]D' = D(x,y+7)[/tex] ----> 7 units up
Substitute values for x and y in [tex]D' = D(x,y-7)[/tex] and [tex]D' = D(x,y+7)[/tex]
So, we have:
[tex]D' = D(x,y-7)[/tex]
[tex]D' = (-4,1 - 7)[/tex]
[tex]D' = (-4,-6)[/tex]
[tex]D' = D(x,y+7)[/tex]
[tex]D' = (-4,1+7)[/tex]
[tex]D' = (-4,8)[/tex]