Answer :
SOlution
The given slope of the line is -3
The line passes through the point (-2, 6)
Recall the point slope form equation:
[tex]y-y_1=m(x-x_1)[/tex]Substituting values gives:
[tex]y-6=-3(x-(-2))[/tex]
Simplifying the equation gives:
[tex]\begin{gathered} y-6=-3(x+2) \\ y-6=-3x-6 \\ y=-3x-6+6 \\ y=-3x \end{gathered}[/tex]Therefore the equation of the line is:
[tex]y=-3x[/tex]