What is the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0)? Enter your answer in the box.

Question

asked Oct 21, 2021 61.6k views

1 Answer

Emanuel Ralha · Answer 1 · 2021-10-26T05:32:15+0000

Answer:

The equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be:
x-2y=0

Explanation:

Given the line

x-2y=-4

x+4 = 2y

$y=\left((1)/(2)\right)x+2$

m_1=(1)/(2)

so, the slope of the line parallel to the given line would have

the same slope as
(1)/(2)=m , and passed through the point (0, 0).

Therefore, the equation of the required line is given by

y = mx+b

$y=\left((1)/(2)\right)x+0$

$y=\left((1)/(2)\right)x$

2y=x

x-2y=0

Therefore, the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be:
x-2y=0