We have to find the slope intercept form of the equation of the line x-3y=18.
Slope Intercept Form:
The slope intercept form of any straight line can be written as y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. The y-intercept of the line is the value of 'y' at the point where the line crosses the y axis.
For the given line x-3y=18
Adding '3y' on both the sides of the above equation.
[tex] x-3y+3y= 18+3y [/tex]
[tex] x=18+3y [/tex]
[tex] 3y=x-18 [/tex]
Dividing both sides of the equation by '3'.
[tex] y=\frac{x}{3}-\frac{18}{3} [/tex]
[tex] y=\frac{x}{3}-6 [/tex]
It is the slope intercept form with slope as [tex] \frac{1}{3} [/tex] and 'y' intercept as '-6'.
