Given:
The equation is:
[tex]3x-2y=18[/tex]
To find:
The slope intercept form of the given equation.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]3x-2y=18[/tex]
It is not in the slope intercept form.
We need to isolate variable y to get the slope intercept form.
The given equation can be rewritten as:
[tex]-2y=-3x+18[/tex]
[tex]y=\dfrac{-3x+18}{-2}[/tex]
[tex]y=\dfrac{-3x}{-2}+\dfrac{18}{-2}[/tex]
[tex]y=\dfrac{3}{2}x-9[/tex]
Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{3}{2}x-9[/tex].
