what must be the coordinates of point B so that the line x=2 is the perpendicular bisector of AB?

Question

if point a(-4,1) is in standard (x,y) coordinate plane

if point A(-4,1) is in standard (x,y) coordinate plane.
Can i see how the equation was done to get the answer...please...so i can look over it to know how to do it on my own...please!!!!!i have to take a test to get in school and really am struck on this one..thanks all

Answer 1

a line perpendicular to x = 2 will be
y = (some number).

So, the segment AB must be a horizontal segment along y = 1.

If (2, 1) is the midpoint og (-4,1) and (x, y), then
x-coordinate:
(-4 + x)/2 = 2
-4 + x = 4
x = 8

We know it has to be along y = 1, so the coordinate for B is (8, 1)

Answer 2

First, it must have the same y-coordinate as point A.
Second it must be the same distance from x =2 as point A is.
Thus the point B is (8,1) since x-coordinate of A is 6 units to the left of x=2, so B must be 6 units to the right or 8.

Answer 3

x=2 is a vertical line, as all x=(huge type) are. as a manner to be perpendicular, our line is horizontal, and on the y=a million line. -4 is 6 to a minimum of one fringe of x=2, so we prefer the element 6 to the different factor. it truly is 8. as a result, the element is (8,a million)

Answer 4

actually it is (8,1) because the differance between the
line X =2 and the point a = 6 so you go to 6 points to the right side from the line go 1 point towards up
and you will end in the point (8,1)
hope I helped

Answer 5

(5,1)

It could be any integer 5 or above on x and it has to be 1 on y so it his horizontal and perpendicular to x=2