tyquezwilson tyquezwilson
  • 26-01-2018
  • Mathematics
contestada

Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.

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evgeniylevi
evgeniylevi evgeniylevi
  • 27-01-2018
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6   k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
[tex]y=- \frac{3}{5}x+3 \ or \ 3x+5y=15[/tex]
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