Question

What is the standard form of the equation of a line passing through points (2,3) and (2,-5)?

Answer 1

`x\text{ = 2}`

Step-by-step explanation:

Here, we want to find the standard form of the equation

We have the standard form as:

`Ax\text{ + By = C}`

We can arrive at this using the two-points form:

This is:

`(y_2-y_1)/(x_2-x_1)\text{ = }(y-y_1)/(x-x_1)`

(x1,y1) = (2,3)

(x2,y2) = (2,-5)

Now, as we can see, the line is a vertical line since the x-value is the same

Thus, we have it that:

`x\text{ = c}`

where c will represent the x-intercept

Thus, we have the equation of the line as:

`x\text{ = 2}`