Question

Write the equation of a vertical line that passes through the point (3, -3)

Answer 1

Hello 
the equation of a vertical line that passes through the point (3, -3) is : x = 3 

Answer 2

Answer:

The equation of a vertical line that passes through the point $(3,-3)$ is

$x=3$

Step-by-step explanation:

The equation of a generic line is :

$y=ax+b$ (I)

Where ''a'' and ''b'' are real numbers.

The horizontal and vertical lines are particular cases of the equation (I).

If ''x'' is equal to 0 ⇒

$y=a.(0)+b\\y=b$

Where ''b'' is still a real number. The equation $y=b$ gives us the family of all horizontal lines which cut the y-axis in the point $(0,b)$

Now, if ''y'' is equal to 0 ⇒

$0=ax+b$

$ax=-b$

$x=\frac{-b}{a}$

If we replace ''$\frac{-b}{a}$'' by ''c'' (where ''c'' is a real number), the equation $x=c$ gives us the family of all vertical lines which cut the x-axis in the point $(c,0)$.

If we want to write the equation of a vertical line we can write

$x=c$ and then we will need to find the value of ''c''. Our line must passes through the point (3,-3). If the second coordinate is 0 then the vertical line will intersect the x-axis at $(3,0)$ ⇒ It equation will be $x=3$