Q (a) Explain why the lines with equations y = 2 - 2x and y = 5 - 2x - Maths - Simple Linear Equations

Question

Q (a) Explain why the lines with equations y = 2 - 2x and y = 5 -
2x are parallel
(b) Write down the equation of another line that would be parallel
to these lines
(c) Draw all three lines

Shruti Tyagi · Accepted Answer

Dear Student,

a) the given lines are y=2-2x and y=5-2xconverting the equation to standard equation of line y=mx+chence y=-2x+2 and y=-2x+5For two lines to be parallel there slope m should be equalslop of line y=-2x+2  is m=-2similarly slope of y=-2x+5 is also m=-2Hence the two lines are parallelb) the third line parallel to the above lines should also have slope m=-2Hence equation of line would be y=-2x+kwhere k=any constant, example we can take k=10Hence equation of third line is y=-2x+10c)we need to plot the points in on graph taking values of x and y

x
y-line 1
y-line 2
y-line3

0
2
5
10

1
0
3
8

2
-2
1
6

3
-4
-1
4

4
-6
-3
2

The graph would be

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a6c2128e0999%20jpg"
style="width: 951px; height: 565px;">Regards,

Q.(a) Explain why the lines with equations y = 2 - 2x and y = 5 - 2x are parallel. (b) Write down the equation of another line that would be parallel to these lines. (c) Draw all three lines.

Q.(a) Explain why the lines with equations y = 2 - 2x and y = 5 - 2x are parallel.
(b) Write down the equation of another line that would be parallel to these lines.
(c) Draw all three lines.