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.
