SOLUTION: Line l goes through (1, 3) and is parallel to the line through (4, 3) and (–3, 1). Find the slope of l. Match your result to the correct answer below. A) 7/2 B) 3 C) 2/7

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Line l goes through (1, 3) and is parallel to the line through (4, 3) and (–3, 1). Find the slope of l. Match your result to the correct answer below. A) 7/2 B) 3 C) 2/7       Log On

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Question 205019: Line l goes through (1, 3) and is parallel to the line through (4, 3) and (–3, 1). Find the slope of l. Match your result to the correct answer below.
A) 7/2
B) 3
C) 2/7
D) Undefined


Thank you
Found 2 solutions by Earlsdon, Alan3354:
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
If two lines are parallel,their slopes are equal, so you need to find the slope of the line passing through the point (4, 3) and (-3, 1).
Use the slope formula:
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m+=+%281-3%29%2F%28-3-4%29 Evaluate.
m+=+%28-2%29%2F%28-7%29
highlight%28m+=+2%2F7%29 This is the slope of line l and you did not need to use the given fact that it passes through the point (1, 3).

Answer by Alan3354(21605) About Me  (Show Source):
You can put this solution on YOUR website!
Line l goes through (1, 3) and is parallel to the line through (4, 3) and (–3, 1). Find the slope of l. Match your result to the correct answer below.
A) 7/2
B) 3
C) 2/7
D) Undefined
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Find the slope, m, of the line thru (4,3) and (-3,1).
m = diffy/diffx = (3-1)/(4+3) = 2/7
All lines parallel have the same slope, 2/7.