Question

Find the slope of the line perpendicular to y = 1/4x + 7

• A. -4
• B. 4
• C. -1/4
• D. 1/4

Answer 1

Answer:

A. -4

Given line:
$y = \frac{1}{4}x + 7$

Step 1: Identify slope

The slope of the line is:
$m = \frac{1}{4}$

Step 2: Slope of perpendicular line

Perpendicular slopes satisfy:
$m_1 \cdot m_2 = -1$

So,
$\frac{1}{4} \cdot m = -1$
$m = -4$

Final Answer:

Slope of the perpendicular line = -4