[tex]\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ -1 &,& 5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=3[x-(-1)]
\implies
y-5=3(x+1)[/tex]