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

Answer:

                The point that lie on the line is:

                        B.  (1,1)

Step-by-step 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:

$y=2\times 2-1\\\\\\y=4-1\\\\\\y=3\neq 1$

Hence, option: A is incorrect.

B)

                     (1,1)

when x=1

we have:

$y=2\times 1-1\\\\\\y=2-1\\\\\\y=1$

                Hence, option: B is correct.

C)

                      (0,1)

when x=0

we have:

$y=2\times 0-1\\\\\\y=0-1\\\\\\y=-1\neq 1$

Hence, option: C is incorrect.