how is the equation x=4 a vertical line on a graph?

Question

how is the equation x=4 a vertical line on a graph?

Answer 1

cuz no matter what y is, x will always be 4. so, if u graphed the points (4,1) and (4, 7) or whatever, and connected them, your line would be vertical.

Answer 2

Vertical lines confuse a lot of people, because they know that when you graph points you go ACROSS to get to "x", so it seems wrong that "x = 4" should go up and down. To graph the line you still do count across to get there, but then you want ALL the points that have that x-value, not just one, and all those points happen to be in a vertical line.

Answer 3

x=4 is a vertical line on a graph because that means that the coordinate for x is always 4 no matter what the coordinate for y is. so when y=1 x=4 when y=2 x=4 and so on, making it a straight line.

Answer 4

in order to draw the line x=4 you have to draw a straight line through the point 4 on the x axis. this line can only be drawn vertically. hence x=4 is always a vertical line.

Answer 5

you go to the x graph (which is the horizontal line). you put a point at (4,0)
so the x coordinate is 4
and the y coordinate is 0

now draw a vertical line through it. it is vertical because an infinate number of points can go on that line of x=4. if you draw it, it will make more sense. if you draw it, you'll be able to see taht you can place an infinante number of points on that vetical line. and all those points that you will plot, all of them have the x coordinate of 4.

4,1
4,2
4,3
4,4
4,5
4, 79898
4, a million

now u see how come it's a straight vertical line?

Answer 6

to bear in mind, make a table and each and every time in the x column, positioned -4, doesn't truly count number what you install the y column. in case you plot those factors, it's going to be a vertical line. regrettably it receives confusing because the x-axis is horizontal, yet an x= equation is continually vertical.

Answer 7

As the value of x will always be 4 irrespective of the value of y,the it would be a vertical line(parallel to Y axis)

Answer 8

x=4 here we have x a constant it hasn't change the value
x=4 like x=2,x=5and so on are equations of parallel axes to the axe y'y and this axe is vertical to the axe xx' that have the equation x=0 therefor :
we have yy' // xx'
and the axe: (that have the equation x=4) // yy'
so :(that have the equation x=4)vertical with xx'

Answer 9

it is a vetical line because all the x's in the coordinates are 4.

for example if you graph (4,4), (4,6), (4,8) it will make a vertical line

Answer 10

Because any y value could be assigned to it. When x is 4, the line shows the possible range in y values (-inf, inf)