The equation is given
[tex]y=\frac{2}{3}x-5[/tex]
Compare the equation given with the general equation
[tex]y=mx+c[/tex]
So the slope of the equation is
[tex]m=\frac{2}{3}[/tex]
And for y-intercept susbtitute x=0.
[tex]y=-5[/tex]
Hence the slope is 2/3 and y -intercept is -5.
The graph of the line is
