Respuesta :

Answer:

y=-5/3x-1

Step-by-step explanation:

Of course! Two parallel lines will have the same slope. So, we have to eliminate all equation that dont have the slope -5/3. We are left with the third option.

Answer:

[tex]y = - \frac{5}{3}x - 1 [/tex]

Step-by-step explanation:

[tex]since \: both \: lines \: have \: te \: same \: slope : \\ then \: the \: equation \: of \: a \: line : slope \: intercept \\ \: is \: given \: by : \\ y - y_{1} = m(x - x_{1}) \\ but \: the \: slope, \: m \: = - \frac{5}{3} \\ y - 4 = - \frac{5}{3}(x - ( - 3)) \\ y - 4 = - \frac{5}{3}x - 5 \\ y = - \frac{5}{3}x - 1 [/tex]

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