Which of the following lines has a slope of -1/2? x + 2y = 0 x - 2y = 0 -x + 2y = 0 y = x - 1/2

Question

asked Jun 24, 2018 181k views

2 Answers

Bhavna · Answer 1 · 2018-06-29T21:07:56+0000

Answer-

$\mathbf{x + 2y = 0}$ has a slope of
-(1)/(2)

Solution-

The general point slope formula of straight line,

y=mx+c

Where,

m = slope

c = y-intercept

$\mathbf{x + 2y = 0}$

$\Rightarrow y=-(x)/(2)$

Comparing with general equation, slope =
-(1)/(2)

$\mathbf{x - 2y = 0}$

$\Rightarrow y=(x)/(2)$

Comparing with general equation, slope =
(1)/(2)

$\mathbf{-x + 2y = 0}$

$\Rightarrow y=(x)/(2)$

Comparing with general equation, slope =
(1)/(2)

$\mathbf{y = x -(1)/(2)}$

Comparing with general equation, slope = 1, y-intercept =
-(1)/(2)

Therefore,
$\mathbf{x + 2y = 0}$ has a slope of
-(1)/(2)