The slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The given equation is
18x - 13y = 11
We would re-arrange the equation so that it takes the slope intercept form. It becomes
18x - 13y = 11
13y = 18x - 11
Dividing both sides of the equation by 13, it becomes
y = 18x/13 - 11/13
The equation in slope intercept form is
y = 18x/13 - 11/13
