Step-by-step explanation:
[tex]5(y + 3) + 6(x - 3) - 2 = 0 \\ \\ 5y + 15 + 6x - 18 - 2 = 0 \\ \\ 5y + 6x + 15 - 20 = 0 \\ \\ 5y + 6x - 5 = 0 \\ \\ 5y = - 6x + 5 \\ \\ y = - \frac{6}{5} x+ \frac{5}{5} \\ \\ y = - \frac{6}{5} x+ 1 \\ equating \: it \: with \\ y = mx + c \\ \\ slope \: (m) = - \frac{6}{5} \\ \\ y - intercept \:( c )= 1[/tex]
