Aline passes through the origin and has a slope of 1/2.which of the following points does the line pass through? (0, 1/2)(1/2,1)(1, 2)(2,1)

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 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 = x

Now check each option that satisfy the equation of the line.

Option A. ( 0, )

                 y = 0 ≠ so invalid option

Option B. ( , 1 )

               y = = ≠ 1 Invalid option

Option C. ( 1,2)

               y = × 1 = ≠ 2 Invalid option

Option D. ( 2, 1 )

              y = × 2 = 1 correct option

Option D. is the correct answer.

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1. perpendicular

2. parallel

3. perpendicular