Answer:
Option D.
Step-by-step explanation:
A line will be in the form of y = mx + c
Where m = slope of the line and c = y-intercept
In this question slope of the line is given as [tex]\frac{1}{2}[/tex] and it passes through origin.
Since line passes through origin then there will be no y-intercept that means c=0
So equation will be y = [tex]\frac{1}{2}[/tex]x
Now check each option that satisfy the equation of the line.
Option A. ( 0, [tex]\frac{1}{2}[/tex] )
y = 0 ≠ [tex]\frac{1}{2}[/tex] so invalid option
Option B. ( [tex]\frac{1}{2}[/tex], 1 )
y = [tex](\frac{1}{2})[/tex] [tex](\frac{1}{2})[/tex] = [tex](\frac{1}{4})[/tex] ≠ 1 Invalid option
Option C. ( 1,2)
y = [tex](\frac{1}{2})[/tex] × 1 = [tex](\frac{1}{2})[/tex] ≠ 2 Invalid option
Option D. ( 2, 1 )
y = [tex](\frac{1}{2})[/tex] × 2 = 1 correct option
Option D. is the correct answer.
