Answer:
Interval of 50 on both axis
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-50,0)[/tex]
[tex](x_2,y_2) = (150,100)[/tex]
[tex](x_3,y_3) = (200,-100)[/tex]
[tex](x_4,y_4) = (350,50)[/tex]
[tex](x_5,y_5) = (-250,0)[/tex]
There are several ways to do this, but I will use the observation method, since the dataset is small.
Considering the x-coordinates
[tex]x = \{-50,150,200,350,-250}[/tex]
Each element of the data set is a multiple of 50.
Hence, an interval of 50 can be used on the x-axis
Considering the y-coordinates
[tex]y = \{0,100,-100,50,0\}[/tex]
Each element of the data set is a multiple of 50.
Hence, an interval of 50 can be used on the y-axis
So, an interval of 50 can be used on both axes