Answer: Second option.
Step-by-step explanation:
You can calculate the slope of the line with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
You know the point G(1,-5) and the point O(0,0), then, you can identify that:
[tex]y_2=-5\\y_1=0\\x_2=1\\x_1=0[/tex]
Now you need to substitute these values into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], then the slope of OG is:
[tex]m=\frac{-5-0}{1-0}\\\\m=\frac{-5}{1}\\\\m=-5[/tex]
This matches with the second option.
