what is the equation of the following line?Be sure the scroll down to see all the answer options.
Option: D is the correct answer.
The equation of the following line is:
[tex]y=\dfrac{2}{7}x[/tex]
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]