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4 votes
Fine the slope of the line perpendicular to

Y=-1/2x -2

2 Answers

6 votes

Answer:

perpendicular slope = 2

Explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = -
(1)/(2) x - 2 is in this form

with slope m = -
(1)/(2)

given a line with slope m then the slope of a line perpendicular to it is


m_(perpendicular) = -
(1)/(m) = -
(1)/(-1/2) = 2


User DSebastien
by
8.7k points
1 vote


\text{Let}\\\\k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)\\\\\text{We have}\ k:y=-(1)/(2)x-2\to m_1=-(1)/(2).\\\\\text{Therefore the slope of the line}\ l\ \text{perpendicular to the line}\ k\ \text{is:}\\\\m_2=-(1)/(-(1)/(2))=(1)/((1)/(2))=2\\\\Answer:\ \boxed{slope=2}

User Vsoler
by
8.4k points

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