Question

How do you find the slope and intercept of `1/2x-9=0`?

Answer 1

`"slope is undefined , x-intercept "=18" there is no y-intercept"`

Explanation:

`color(red)(bar(ul(|color(white)(2/2)color(black)(x=c)color(white)(2/2)|))`

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

`1/2x-9=0" is in this form"`

`"add 9 to both sides and multiply by 2"`

`rArr1/2x=9rArrx=18`

`"since it is a vertical line, slope is undefined"`

`"it has an x-intercept of 18 but no y-intercept"`
graph{y-1000x+18000=0 [-20, 20, -10, 10]}