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3 years ago

Find an equation of the line through (4,5) and parallel to y=3x+5.

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

GIVEN: y = 3x + 5

--> slope of given line = 3

--> This means that your equation must have the same slope, or "m"

FORMULA OF A LINE: y = mx + b

--> Use point-slope form to find "b"

POINT SLOPE FORM: y - y₁ = m ( x - x₁ )

--> Plug in your given point AND the slope of the given line

y - 5 = 3 ( x - 4 )

y - 5 = 3x - 12

y = 3x - 7

<h3>ANSWER: y = 3x - 7</h3>

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