Answer:
y = -6x - 5
Explanation:
The equation of a line with slope m that passes through the point (x1, y1) can be calculated using the following equation:
[tex]y-y_1=m(x-x_1)[/tex]So, replacing (x1, y1) by (-1, 1) and m by -6, we get:
[tex]\begin{gathered} y-1=-6(x-(-1)) \\ y-1=-6(x+1) \end{gathered}[/tex]Now, to write the answer as y = mx + b, we need to solve the equation for y, so we get:
[tex]\begin{gathered} y-1=-6(x)-6(1) \\ y-1=-6x-6 \\ y-1+1=-6x-6+1 \\ y=-6x-5 \end{gathered}[/tex]Therefore, the answer is y = -6x - 5
