Question

How do I find an equation parallel to x=4 and passing through (3,-7)?

Answer 1

`x=3`

Explanation:

`x=4" is a special case of the equation of a straight line "`
`"in that it is a vertical line, parallel to the y-axis and "`
`"passing through all points in the plane with an"`
`"x-coordinate of 4"`

`"the general 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 the line passes "`
`"through"`

`"the equation of a line parallel to "x=4" passing through"`
`(color(red)(3),-7)" is therefore"`

`x=3`
graph{(y-1000x+4000)(y-1000x+3000)((x-3)^2+(y+7)^2-0.04)=0 [-20, 20, -10, 10]}