What is the equation of the following line? Be sure to scroll down first to see all answer options. (-3, 1) (0, 0)

Umm.... Y = -1/3x?

Because it passes through the origin, so it's y = mx, and Rise is -3 and run is 1, and when you do rise over run, you get 1/-3 which is -1/3, which is the slope.

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JeanaShupp JeanaShupp · Answer 2 · 2020-04-09T04:00:10+02:00

Answer: [tex]y=-\dfrac{1}{3}x[/tex]

Step-by-step explanation:

Equation of a line that passes through two points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

The given points : (0, 0) and (-3, 1)

Then, the equation of the line passing through these points :

[tex](y-0)=\dfrac{1-0}{-3-0}(x-0)[/tex]

[tex]\Rightarrow\ y=-\dfrac{1}{3}x[/tex]

Hence, the required equation that passes through (0, 0) and (-3, 1) is [tex]y=-\dfrac{1}{3}x[/tex].