Answer:
Option C and D are correct choices.
Step-by-step explanation:
We are asked to select the correct options of the given choices about the graph of a linear parent function.
Let us check our given choices one by one.
A. It has a slope of 2.
Since we know that equation of the linear parent function is [tex]y=x[/tex] and it has a slope of 1, therefore, option A is not a correct choice.
B. It goes through the origin.
Since we know that line [tex]y=x[/tex] passes through the origin (0,0), therefore, option B is the correct choice.
C. It is a straight line.
Since rate of change of the linear parent function is always 1, therefore, it forms a straight line and option C is the correct choice.
D. It is in quadrants 1st and 3rd.
Since line [tex]y=x[/tex] lies in 1st and 3rd quadrants, therefore, option D is correct choice as well.
