Respuesta :

Answer:

x = 5

Explanation:

A vertical line has an undefined slope because according to the definition

[tex]m=\frac{\text{rise}}{\text{run}}[/tex]

Any two points chosen on the line have the same x-coordinate but different y-coordinates; therefore,

[tex]m=\frac{y_1-y_2}{x-x}_{}=\frac{y_1-y_2}{0}_{}[/tex]

Since there is a zero in the denominator, the slope is undefined.

The vertical line passes through only one value of x; therefore, the equation can be written as

[tex]x=a[/tex]

where a is any number.

Now in our case, our line passes through x = 5; therefore, the equation of the vertical line is

[tex]x=5.[/tex]

The graph of the equation is given below.

Ver imagen YerikQ678708
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