Answer: D
Step-by-step explanation:
The slope of the perpendicular line is the original line's negative reciprocal. The slope of the line [tex]y = \frac{1}{4}x + 6[/tex] is [tex]\frac{1}{4}[/tex] (since the line is already in slope-intercept form).
The negative reciprocal of [tex]\frac{1}{4}[/tex] is –4. From that alone, we can narrow it down to Choice D, because it is the only line with a slope of –4.
