Question

fill in the blank 1 point find the slope of a line perpendicular to the given line. y = 4x + 3 perpendicular slope: type your answer...

Explanation:

Step1: Identify given line slope

The line $y=4x+3$ is in slope-intercept form $y=mx+b$, so its slope $m_1=4$.

Step2: Calculate perpendicular slope

Perpendicular slopes are negative reciprocals: $m_2 = -\frac{1}{m_1}$
$m_2 = -\frac{1}{4}$

Answer:

$-\frac{1}{4}$