Express the atandard form of equation of the line having slope m and a point (x1,y1).
[tex]y-y_1=m(x-x_1)[/tex]Given that slope is -6 and point is (0,-8) implies,
[tex]\begin{gathered} y+8=-6(x-0) \\ y+8=-6x \\ y=-6x-8 \end{gathered}[/tex]Therefore, the atandarad form is y=-6x-8.
Express the equation of the line in standarad form ax+by=c.
[tex]\begin{gathered} y+6x=-8 \\ 6x+y=-8 \end{gathered}[/tex]Therefore, the atandard form is 6x+y=-8.
