Question

Find the equation of a line that is parallel to the line `x=12` and contains the point `(-9,1)`?

Answer 1

`x=-9`

Explanation:

`x=12" is a line parallel to the y-axis passing through all"`
`"points in the plane with an x-coordinate of 12"`

`"therefore a line parallel to "x=12`

`"will also be a line parallel to the y-axis and passing"`
`"through all points in the plane with the same x-coordinate"`

`"the line required passes through the point "(color(red)(-9),1)`

`rArr"equation of parallel line is "x=-9`
graph{(y-1000x+12000)(y-1000x-9000)((x+9)^2+(y-1)^2-0.04)=0 [-20, 20, -10, 10]}