Answer :
Answer:
[tex]y+7=-\frac{1}{5}(x-2)[/tex]Explanation:
The point-slope form of the equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]Given the following:
[tex]\begin{gathered} \text{Slope,m}=-\frac{1}{5} \\ \text{Point:}$\mleft(x_1,y_1\mright)=\mleft(2,-7\mright)$ \end{gathered}[/tex]Substitute into the formula above:
[tex]\begin{gathered} y-(-7)=-\frac{1}{5}(x-2) \\ y+7=-\frac{1}{5}(x-2) \end{gathered}[/tex]The equation of the line is:
[tex]y+7=-\frac{1}{5}(x-2)[/tex]