Question

Lf a line is drawn parallel to the y axis through the point (4,2), then what would its equation be?

Answer 1

`x=4`

Explanation:

A line parallel to the y-axis, passes through all points in the plane with the same x-coordinate. For this reason it's equation is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(x=c)color(white)(2/2)|)))`
where c is the value of the x-coordinate of the points it passes through.

The line passes through the point `(color(red)(4),2)`

`rArrx=4" is the equation"`
graph{y-1000x+4000=0 [-10, 10, -5, 5]}