Given:
Slope, m=5/3
Point (-6, -5)
To find the slope intercept form:
Using the point- slope formula,
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-5)=\frac{5}{3}(x-(-6)) \\ y+5=\frac{5}{3}(x+6) \\ y=\frac{5}{3}(x+6)-5 \\ y=\frac{5}{3}x+10-5 \\ y=\frac{5}{3}x+5 \end{gathered}[/tex]
Hence, the slope intercept form is,
[tex]y=\frac{5}{3}x+5[/tex]
