Respuesta :

Answer:

The answer ia option 2

Step-by-step explanation:

When a line is parallel to the other line, they will have the same slope (gradient).

The new equation will be y = (1/4)x + b.

Next, you have to find the value of b, by substituting the coordinates into the equation :

[tex]y = \frac{1}{4} x + b[/tex]

[tex]let \: x = - 4,y = - 2[/tex]

[tex] - 2 = \frac{1}{4} ( - 4) + b[/tex]

[tex] - 2 = - 1 + b[/tex]

[tex]b = - 1[/tex]

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