Respuesta :

the slope would be the negative reciprocal = -3/4
plug in (-4,-1) for x and y to find b.
y = mx+b
-1 = (-3/4)(-4) + b
-1 = 3 + b
-4 = b

THE ANSWER
y = -3/4x -4

The equation of the line that passes is [tex]y = \frac{-3}{4x} -4[/tex].

The following information should be considered:

  • The slope would be the negative reciprocal = [tex]\frac{-3}{4}[/tex]
  • Now we have to plug in (-4,-1) for x and y to determine b.

So,  

y = mx+b

[tex]-1 = (-3\div 4)(-4) + b[/tex]

-1 = 3 + b

-4 = b

Therefore we can conclude that The equation of the line that passes is [tex]y = \frac{-3}{4x} -4[/tex].

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