Answer:
slope is -1
Step-by-step explanation:
Slope of the line is changes in y over changes in x. It can also be referred as rise over run.
We can express mathematically as:
[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where m is slope.
Let (-2,5) be [tex]\displaystyle{(x_2,y_2)}[/tex] and (6,-3) be [tex]\displaystyle{(x_1,y_1)}[/tex]. Hence, apply the slope formula:
[tex]\displaystyle{m=\dfrac{5-(-3)}{-2-6}}\\\\\displaystyle{m=\dfrac{5+3}{-8}}\\\\\displaystyle{m=\dfrac{8}{-8}}\\\\\displaystyle{m=-1}[/tex]
Therefore, the slope is -1
