Using the Point-Slope Formula :
[tex]y-y_1=m(x-x_1)[/tex]where m is the slope and (x1, y1) is the point on the line
From the given problem, m = 6 and the point is (-6, -5)
Subsitute the given to the formula :
[tex]\begin{gathered} y-(-5)=6\lbrack x-(-6)\rbrack \\ y+5=6(x+6) \\ y+5=6x+36 \\ y=6x+36-5 \\ y=6x+31 \end{gathered}[/tex]The answer is Choice B. y = 6x + 31
