Answer: [tex]=\dfrac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line in intercept form is given by:-
[tex]y=mx+c[/tex], where m is the slope of line and c is the y-intercept.
(1)
Given : Equation of line :[tex]3y = 2x - 3[/tex]
Transform above equation into slope -intercept form by dividing 3 on both sides , we get
[tex]y=\dfrac{1}{3}(2x-3)[/tex]
[tex]y=\dfrac{2}{3}x-1[/tex] (2)
Comparing (1) and (2), we get
[tex]m =\dfrac{2}{3}[/tex]
Hence, the slope of the line [tex]=\dfrac{2}{3}[/tex]
