Respuesta :

D) perpendicular!
A perpendicular's definition is: a straight line at an angle of 90° to a given line, plane, or surface.
And if you mark them on a graph you could see these two are opposite of each other.
SociometricStar

Answer:

Perpendicular.

D is the correct option.

Step-by-step explanation:

The given equations are

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

The slope intercept form of a line is given by

[tex]y=mx+b[/tex]

Here, m is the slope and b is the y intercept.

Comparing given equation with slope intercept form of the line

Slope of first line = 4

Slope of second line = -1/4

These two slopes are not equal hence, lines are not parallel.

We can see that -1/4 is the negative reciprocal of 4. Since.

[tex]4\cdot-\frac{1}{4}=-1[/tex]

We know that the slopes of  perpendicular lines are negative reciprocal of each other.

Hence, the lines are perpendicular.

D is the correct option.

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