Answer: \(\dfrac{-5}{3}\)
Step-by-step explanation:
The intercept form of a line in is given by:-
\(y=mx+c\), where m is the slope of line and c is the y-intercept.
(1)
Given : Equation of line :\(5x + 3y = -2\)
Convert above equation into slope -intercept form by subtracting 5x from both sides , we get
\(3y=-5x-2\)
Divide 3 on both sides , we get
\(y=\dfrac{1}{3}(-5x-2)\)
\(y=\dfrac{-5}{3}x-\dfrac{-2}{3}\) (2)
Comparing (1) and (2), we get
\(m =\dfrac{-5}{3}\)
Hence, the slope of the line \(=\dfrac{-5}{3}\)
