Respuesta :

Answer:

[tex]4[/tex]

Step-by-step explanation:

First we are going to find the slope for [tex]l_{1}[/tex].

We are going to use the letter 'm' for slope.

[tex]m=\frac{y_{2_{} } -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m= \frac{5-1}{-2-(-3)}[/tex]

[tex]m=\frac{4}{1}[/tex]

[tex]m=4[/tex]

Now, since [tex]l_{1}[/tex] and [tex]l_{2}[/tex] are parallel, their slopes should be the same.

Since the slope for [tex]l_{1}[/tex] is 4, the slope for [tex]l_{2}[/tex] must also be 4.

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