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

May 19, 2018

$\text{slope is undefined , x-intercept "=18" there is no y-intercept}$

Explanation:

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

$\text{is the equation of a vertical line parallel to the y-axis}$
$\text{passing through all points in the plane with an}$
$\text{x-coordinate of c}$

$\frac{1}{2} x - 9 = 0 \text{ is in this form}$

$\text{add 9 to both sides and multiply by 2}$

$\Rightarrow \frac{1}{2} x = 9 \Rightarrow x = 18$

$\text{since it is a vertical line, slope is undefined}$

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