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

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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

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Mathematics Farah 3 years 2021-08-14T17:41:40+00:00 2021-08-14T17:41:40+00:00 1 Answers 13 views 0

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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Doris · Answer 1 · 2021-08-14T17:43:09+00:00

Doris

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2021-08-14T17:43:09+00:00 August 14, 2021 at 5:43 pm

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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