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Which of the following is the equation of a line parallel to 4y=12x+5 that passes through (3,8)?

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Answer:

The equation of the described line is y = 3x - 1

Explanation:

In order to find the equation of this line, we first have to solve the initial equation for y to find the slope.

4y = 12x + 5

y = 3x + 1.25

Now we know the slope to be 3. And since parallel lines have the same slope, we know the new line will as well. We can use this slope and the point to find the line using point-slope form.

y - y1 = m(x - x1)

y - 8 = 3(x - 3)

y - 8 = 3x - 9

y = 3x - 1

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