We are given the following two points
[tex](-3,5)\: \text{and }(5,-3)[/tex]The slope of the line is given by
[tex]m=\frac{y_2−y_1}{ x_2−x_1}[/tex][tex]\text{where }(x_1,y_1)=(-3,5)\: \text{and }(x_2,y_2)=(5,-3)[/tex]Let us substitute the given points into the above slope formula
[tex]m=\frac{-3-5}{5-(-3)}=\frac{-8}{5+3}=\frac{-8}{8}=-1[/tex]Therefore, the slope of the line that passes through the points (-3,5) and (5,-3) is -1
The correct option is A.
