The line through (-2,4) that is perpendicular to the x-axis?
If you are asking if the line through (-2,4) is perpendicular to the x-axis, then, yes, I think it is. Do you know why, though? Hope this helps.
The line perpendicular to the X-axis through (-2,-4) would have all values of Y equal to the same value of X.
I hope this helps a little more. Thanks for asking.
Yes, the line through (-2,4) is indeed perpendicular to the x-axis. To understand why, let's first recall that the x-axis is a horizontal line that extends infinitely in the positive and negative x-directions. It has the equation y = 0, as its y-coordinate is always 0.
Now, for a line to be perpendicular to the x-axis, it must be vertical or have a slope that is undefined. In this case, the line passing through the point (-2,4) is vertical because it has all the same x-coordinates. The equation of a vertical line passing through the point (-2,4) can be written as x = -2, which means that for any y-value, the x-value remains constant at -2.
In summary, a line is perpendicular to the x-axis if it is vertical or has an undefined slope. The line passing through (-2,4) has all x-coordinates equal to -2, making it a vertical line and perpendicular to the x-axis.