Question

What is the answer to this equation

Answer 1

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

Answer 2

the equation of the following line (0,0) and (-3,1)

First we find slope of the line using the given points (0,0) and (-3,1)

$slope = \frac{y_2-y_1}{x_2-x_1}$

(0,0) is (x1,y1)  and (-3,1) is (x2,y2)=

$slope = \frac{1-0}{-3-0}$= $\frac{-1}{3}$

Now we use equation y=mx+b

where m is the slope and b is the y intercept

$y=\frac{-1}{3}x +b$

Plug in (0,0) and solve for b

$0=\frac{-1}{3}(0)+b$

b=0

So equation of the line is

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