Answer:
The slopes of OA, OB ans OC are integer values.
Step-by-step explanation:
If a line passing through two points then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
If one point is origin then the slope of the line is
[tex]m=\frac{y_2-0}{x_2-0}=\frac{y_2}{x_2}[/tex]
The slope of line OA is
[tex]m_{OA}=\frac{8}{2}=4[/tex]
It is an integer.
The slope of line OB is
[tex]m_{OB}=\frac{9}{3}=3[/tex]
It is an integer.
The slope of line OC is
[tex]m_{OC}=\frac{8}{4}=2[/tex]
It is an integer.
The slope of line OD is
[tex]m_{OD}=\frac{8}{5}[/tex]
It is not an integer.
The slope of line OE is
[tex]m_{OE}=\frac{7}{6}[/tex]
It is not an integer.
The slope of line OF is
[tex]m_{OF}=\frac{6}{7}[/tex]
It is not an integer.
Therefore the slopes of OA, OB ans OC are integer values.
