Answer: [tex]\dfrac{-5}{3}[/tex]
Step-by-step explanation:
The intercept form of a line in 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]5x + 3y = -2 [/tex]
Convert above equation into slope -intercept form by subtracting 5x from both sides , we get
[tex]3y=-5x-2[/tex]
Divide 3 on both sides , we get
[tex]y=\dfrac{1}{3}(-5x-2)[/tex]
[tex]y=\dfrac{-5}{3}x-\dfrac{-2}{3}[/tex] (2)
Comparing (1) and (2), we get
[tex]m =\dfrac{-5}{3}[/tex]
Hence, the slope of the line [tex]=\dfrac{-5}{3}[/tex]
