Question

Which equation represents the line shown

Answer 1

Answer: Third option:

Step-by-step explanation:

The equation in Slope Intercept form of a line that does not pass through the point (0,0), which is known as "Origin, is the following:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

The equation  in Slope Intercept form  of a line that passes through the Origin, is:

$y=mx$

Where "m" is the slope of the line.

In this case you can observe in the picture attached that the line passes through the point (0,0).

You can also notice that "y" would be the Dependent variable and "x" the Independent variable.

Therefore, the equation of this must have this form:

 $y=mx$

The only equation that matches with that form, is the one given in the Third option. This is:

$y=2x$