MazieP533639 MazieP533639
  • 25-10-2022
  • Mathematics
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Write the equation of a line that is parallel to the line whose equation is y = 1/3x +6 and passes through the point(-3,5).

Write the equation of a line that is parallel to the line whose equation is y 13x 6 and passes through the point35 class=

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XzaiverV756621 XzaiverV756621
  • 25-10-2022

Answer:

y = 1/3 x + 6

Explanation:

The slope of two parallel lines is the same; thereofre the equation of the line we are seeking looks like

[tex]y=\frac{1}{3}x+b[/tex]

where b is a constant hitherto unknown.

Now, we know from point (-3, 5) that when when x = -3, y = 5; therefore,

[tex]5=\frac{1}{3}(-3)+b[/tex]

the above simplifies to

[tex]5=-1+b[/tex][tex]\therefore b=6[/tex]

Hence, the equation of the line is

[tex]y=\frac{1}{3}x+6[/tex]

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