Question

The equation of the line 1 is y = 3x – 2.

The equation of the line 2 is 3y – 9x + 5 = 0
Show that these two lines are paralle

Answer 1

Explanation:

Given

Line 1 is

`y=3x-2\quad \ldots(i)`

Line 2 is

`3y-9x+5=0\\3y=9x-5\\y=3x-(5)/(3)\quad \ldots(ii)`

the slope-intercept form of the line is

`y=mx+c`

where,

`m=\text{Slope}\\c=\text{Intercept on y-axis}`

Comparing it with
`(i)\ \text{and}\ (ii)`

The slope of both the line is same i.e.
`m=3`

Therefore, both lines are parallel to each other