SOLUTION: Find an equation of the line through the point (2, -4) with slope -1/3 Find an equation of the line through (2, -7) and parallel to x+3=8 Find the equation of the line that

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line through the point (2, -4) with slope -1/3 Find an equation of the line through (2, -7) and parallel to x+3=8 Find the equation of the line that      Log On


   

Question 1183172: Find an equation of the line through the point (2, -4) with slope -1/3
Find an equation of the line through (2, -7) and parallel to x+3=8
Find the equation of the line that passes through the point (4, 6) and is perpendicular to the line x=-4
Found 3 solutions by Edwin McCravy, mccravyedwin, Plocharczyk:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Find an equation of the line through the point (2,  -4) with slope -1/3

Use the point-slope formula:

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

y+-+%28-4%29+=+expr%28-1%2F3%29%28x+-+%282%29%29

y+%2B+4+=+expr%28-1%2F3%29%28x+-+2%29

y+%2B+4+=+expr%28-1%2F3%29x+%2B+2%2F3

y+=+expr%28-1%2F3%29x+%2B+2%2F3+-+4

y+=+expr%28-1%2F3%29x+%2B+2%2F3+-+12%2F3

y+=+expr%28-1%2F3%29x+-+10%2F3

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Find an equation of the line through (2,  -7) and parallel to x+3=8

x+3=8 which simplifies to
  x=5 is a vertical line with no slope, so we need another vertical
line passing through (2,-7) which is just x = [the x-coordinate of (2,-7)]

Answer: x = 2

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Find the equation of the line that passes through the point (4, 6) and is perpendicular to the line x=-4 

x=-4 is a vertical line with no slope, so we just need a horizontal
line passing through (4,6) which is just y=the y-coordinate of (4,6)

Answer: y = 6

Edwin

Answer by mccravyedwin(408) About Me  (Show Source):
Answer by Plocharczyk(17) About Me  (Show Source):