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HURRY!!!!! question 1 and 4 is attatched!!!!

2. What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

3. What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x4+5 ?

HURRY!!!!! question 1 and 4 is attatched!!!! 2. What is the equation of a line that-example-1
HURRY!!!!! question 1 and 4 is attatched!!!! 2. What is the equation of a line that-example-1
HURRY!!!!! question 1 and 4 is attatched!!!! 2. What is the equation of a line that-example-2
User Demonkoryu
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1 Answer

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In the future, Ashton, please post only ONE problem at a time. I'm not even sure you want me to start with problem #2, but will address it anyway:

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

My approach is not the most common one, but in this case it saves time.
If two lines are parallel, their slopes are equal.

The given line is 3x + 4y = 15, and so the equation of a line parallel to this one but passing through the point (8, -2) is the same, EXCEPT that the constant is different (not 15).

Write out 3x + 4y = C and substitute the coordinates of point (8,-2):

3(8) + 4(-2) = C. Then C = 24 - 8, or C=16.

The equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15 is 3x + 4y = 16.
User Tim Clemons
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