Question

If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

A. (2, 1)
B. (1, 1)
C. (0, 1)

Answer 1

The answer is B because y=2x-1

Answer 2

The point that lie on the line is:

B. (1,1)

Explanation:

We are given that a line passes through the point (0,-1) and has a slope of 2.

We know that the equation of a line passing through (a,b) and having slope m is given by:

`y-b=m(x-a)`

Here we have: (a,b)=(0,-1) and m=2

This means that the equation of line is:

`y-(-1)=2(x-0)\\\\y+1=2x\\\\y=2x-1`

Now we will check which option is true.

A)

(2,1)

when x=2

we have:

`y=2* 2-1\\\\\\y=4-1\\\\\\y=3\\eq 1`

Hence, option: A is incorrect.

B)

(1,1)

when x=1

we have:

`y=2* 1-1\\\\\\y=2-1\\\\\\y=1`

Hence, option: B is correct.

C)

(0,1)

when x=0

we have:

`y=2* 0-1\\\\\\y=0-1\\\\\\y=-1\\eq 1`

Hence, option: C is incorrect.