In the coordinate plane, line n is represented by the equation y = \frac{1}{4}x + 6. Which equation...
A. y = \frac{1}{4}x + \frac{1}{4}
B. y = \frac{1}{4}x + \frac{19}{4}
C. y = -4x + 9
D. y = -4x + 21
The slope of line n is \( \frac{1}{4} \). A line perpendicular to line n will have a slope that is the negative reciprocal, which is -4.
Using the point (1, 5) and the slope -4, we can use the point-slope form of the equation:
\( y - 5 = -4(x - 1) \)
Simplifying:
\( y - 5 = -4x + 4 \)
\( y = -4x + 9 \)
Therefore, the correct answer is C. y = -4x + 9.
Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.
Solve my question free Math help Find a math tutor© 2026 SnapAndSolve