Respuesta :

The answer is D. y= 2/7x

Answer:

Option: D is the correct answer.

  The equation of the following line is:

        [tex]y=\dfrac{2}{7}x[/tex]

Step-by-step explanation:

We could see that the line passes through the point (0,0) and (7,2)

The equation of a line passing through ordered pair (a,b) and (c,d) is calculated by the two-point formula as:

    [tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]

Here (a,b)=(0,0) and (c,d)=(7,2)

Hence, the equation of line is calculated as follows:

      [tex]y-0=\dfrac{2-0}{7-0}\times (x-0)\\\\i.e.\\\\\\y=\dfrac{2}{7}x[/tex]

       Hence, the equation of given line is:

              [tex]y=\dfrac{2}{7}x[/tex]

Q&A Education