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svetlana [45]
3 years ago
5

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?

Mathematics
2 answers:
____ [38]3 years ago
8 0
<h2>Answer:</h2>

                The point that lie on the line is:

                        B.  (1,1)

<h2>Step-by-step explanation:</h2>

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.

ruslelena [56]3 years ago
4 0
The answer is B because y=2x-1
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