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If the equation line s is y = x - 5 and line f includes the point (5, 1) and is parallel to line s, what is the equation of line f?
Select one:
O A. y=-x-4
O B.y=x+4
OC. y=1/2x-4
O D.y=x-4

Respuesta :

Answer:

The correct answer is option D.

Step-by-step explanation:

Equation of line s : y = x - 5

Slope intercept form ( y = mx +c)

y = x - 5

Slope of line s , m = 1

Given that line f is parallel to line s, which means that slope of line f is same as that of the line s.

Slope of line f = Slope of line s = m = 1

Line f includes the point (5, 1). So the equation of line f can be determined by slope point form :

[tex](y-1)=1(x-5)[/tex]

[tex]y-1=x-5[/tex]

[tex]y=x-4[/tex]

The equation of line f : [tex]y=x-4[/tex]

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