Question

What is the equation of the following line? Be sure to scroll down first to see

Answer 1

Answer: (f)

Step-by-step explanation:

Given

Line that passes through $(-\frac{1}{2},3)$ and $(0,0)$

Using two point form, equation of a line is given by

$\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}$

Insert the values

$\Rightarrow \dfrac{y-0}{x-0}=\dfrac{3-0}{-\frac{1}{2}-0}\\\\\Rightarrow \dfrac{y}{x}=-6\\\\\Rightarrow y=-6x$

Thus, option (f) is correct