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

Step-by-step explanation:

Given

Line 1 is

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

Line 2 is

$3y-9x+5=0\\3y=9x-5\\y=3x-\frac{5}{3}\quad \ldots(ii)$

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