Question

Write equations for the vertical and horizontal lines passing through the point , (4,−2) vertical line: horizontal line:

Answer 1

Answer:

Vertical line: x = 4

Horizontal line: y = -2

Step-by-step explanation:

A vertical line is a line having the value of the x-coordinate constant for every value of the y-coordinate.

This means that a vertical line can be written in the form

$x=k$

where k is a constant term.

Here, the vertical line must pass through the point (4,-2): this means that the x-coordinate should be

x = 4

So the value of the constant term must be 4:

k = 4

So the vertical line is:

$x = 4$

Similarly, a horizontal line has a value of the y-coordinate constant for every value of x, so it can be written as

$y = k$

Since here the line must pass through the point (4,-2), the constant must be equal to

k = -2

So the equation of the horizontal line is

$y=-2$