Question

Find the equation of the line below. ​

Answer 1

Answer:

Option A. is the right choice.

Step-by-step explanation:

y-intercept is 0, and slope is negative.

$\mathrm{Slope\:}\left(0,\:0\right),\:\left(3,\:-1\right):\\\\\quad m=\frac{-1-0}{3-0}=-\frac{1}{3}$

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Answer 2

Answer:

A. $y= - \frac{1}{3} x$

Step-by-step explanation:

Line is passing through the point $(3,\:-1)=(x_1, \:y_1)$ and origin $(0,\: 0)=(x_2, \: y_2)$

Equation of line in two point form is given as :

$\frac {y-y_1}{y_1 - y_2} = \frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-(-1)}{-1-0}= \frac{x-3}{3-0}\\\\\therefore \frac{y+1}{-1}= \frac{x-3}{3} \\\\\therefore 3(y+1) = - 1(x-3)\\\\\therefore 3y + 3 = - x +3\\\\\therefore 3y = - x +3-3\\\\\therefore 3y = - x\\\\\huge \orange {\boxed {\therefore y= - \frac{1}{3} x}}$