Solution
Given:
Slope = -1
Point the line is passing through = (-2, 10)
The equation of the line can be calculated by the formula
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ Where\text{ \lparen x}_1,y_1)=(-2,10)\text{ and m = -1} \end{gathered}[/tex][tex]\begin{gathered} y-10=-1(x-(-2)) \\ y-10=-1(x+2) \\ y-10=-x-2 \\ y=-x-2+10 \\ y=-x+8 \end{gathered}[/tex]The equation of the line is y = -x + 8