Question

A line 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)​

Answer 1

Answer: the answer is C. (1, 2)

Step-by-step explanation: because the origin is 0 and slope is rise over run. so if you start at 0, go up one, and over two, your point is at (1,2) .

Answer 2

Option D.

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
`(1)/(2)` 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 =
`(1)/(2)`x

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

Option A. ( 0,
`(1)/(2)` )

y = 0 ≠
`(1)/(2)` so invalid option

Option B. (
`(1)/(2)`, 1 )

y =
`((1)/(2))`
`((1)/(2))` =
`((1)/(4))` ≠ 1 Invalid option

Option C. ( 1,2)

y =
`((1)/(2))` × 1 =
`((1)/(2))` ≠ 2 Invalid option

Option D. ( 2, 1 )

y =
`((1)/(2))` × 2 = 1 correct option

Option D. is the correct answer.