Respuesta :

Option B:

The equation of the given line is y = –4.

Solution:

The points on the line are (–3, –4) and (1, –4).

Here, [tex]x_1=-3,y_1=-4,x_2=1,y_2=-4[/tex]

Slope of the line:

[tex]$m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]$m=\frac{-4-(-4)}{1-3}[/tex]

[tex]$m=\frac{-4+4}{-2}[/tex]

m = 0

Slope of the line is 0.

Using point-slope formula,

[tex]y-y_1=m(x-x_1)[/tex]

Here, [tex]x_1=1, y_1=-4, m=0[/tex]

[tex]y-(-4)=0(x-1)[/tex]

y + 4 = 0

y = –4

The equation of the given line is y = –4.

Hence option B is the correct answer.

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