Given that,
Point = (-5,3)
Slope, m = -3/5
To find,
The slope intercept form of the equation of the line.
Solution,
The general form of equation is :
y = mx +b
We have, x = -5, y = 3
So,
[tex]3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6[/tex]
The equation is :
[tex]y=\dfrac{-3}{5}x+6[/tex]
Hence, the required equation is [tex]y=\dfrac{-3}{5}x+6[/tex].