write an equation of a line that is parallel to y= -1/3x+4 and passes through (6,-3) . please provide the steps and explanation

Mathematics

1 answer:

murzikaleks [220]3 years ago

7 0

Answer:

The answer is y = -1/3x - 1

Step-by-step explanation:

In order to find this we first must note that parallel lines have the same slope. Therefore, since the slope in the original line is -1/3, then we know the slope in our line will be the same. Now we can use point slope form with that slope and the given point to find the equation by solving for y.

y - y1 = m(x - x1)

y + 3 = -1/3(x - 6)

y + 3 = -1/3x + 2

y = -1/3x - 1

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