Respuesta :

the correct answer is C because from (0,0) you go down 3 then to the left two so that would be -3/-2 so then the negative cancel leaving 3/2
C. y=3/2x

Answer:

Option C is the answer.

Step-by-step explanation:

The given line passes through two points origin ( 0,0) and ( -2, -3 ).

Let the given line is y = mx + c

Since the line is passing through origin so y-intercept c will be zero and slope of the line will be

[tex]m=\frac{y-y'}{x-x'}[/tex]

 = [tex]\frac{-3-0}{-2-0}[/tex]

 = [tex]\frac{3}{2}[/tex]

Therefore, equation of the line will be y =  [tex]\frac{3}{2}[/tex]x

Option C is the answer.

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