SOLUTION: A particular line has a slope of 3. Which pairs of points are possibly on the line? A. (-2,3)and (0,6) B. (1,4) and (3,8) C. (-3,-4) and (0,2) D. (2,-1) and (-1, -10)

Algebra ->  Graphs -> SOLUTION: A particular line has a slope of 3. Which pairs of points are possibly on the line? A. (-2,3)and (0,6) B. (1,4) and (3,8) C. (-3,-4) and (0,2) D. (2,-1) and (-1, -10)      Log On


   

Question 87184: A particular line has a slope of 3. Which pairs of points are possibly on the line?
A. (-2,3)and (0,6)
B. (1,4) and (3,8)
C. (-3,-4) and (0,2)
D. (2,-1) and (-1, -10)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Lets find the slope between the points (-2,3) and (0,6)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (-2, 3) and (0, 6)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+%28x%5B1%5D%29%29


m+=+%286+-+3%29%2F%280+-+%28-2%29%29


m+=+%286+-+3%29%2F%280+%2B+2%29


m+=+%283%29%2F%282%29


Answer: Slope is m+=+3%2F2




Since this slope doesn't equal 3, this choice isn't the answer

Lets find the slope between the points (1,4) and (3,8)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (1, 4) and (3, 8)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%288+-+4%29%2F%283+-+1%29


m+=+%284%29%2F%282%29


m+=+2



Answer: Slope is m+=+2




Since this slope doesn't equal 3, this choice isn't the answer

Lets find the slope between the points (-3,-4) and (0,2)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (-3, -4) and (0, 2)



m+=+%28y%5B2%5D+-+%28y%5B1%5D%29%29%2F%28x%5B2%5D+-+%28x%5B1%5D%29%29


m+=+%282+-+%28-4%29%29%2F%280+-+%28-3%29%29


m+=+%282+%2B+4%29%2F%280+%2B+3%29


m+=+%286%29%2F%283%29


m+=+2



Answer: Slope is m+=+2




Since this slope doesn't equal 3, this choice isn't the answer


Lets find the slope between the points (2,-1) and (-1, -10)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (2, -1) and (-1, -10)



m+=+%28y%5B2%5D+-+%28y%5B1%5D%29%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%28-10+-+%28-1%29%29%2F%28-1+-+2%29


m+=+%28-10+%2B+1%29%2F%28-1+-+2%29


m+=+%28-9%29%2F%28-3%29


m+=+3



Answer: Slope is m+=+3




Since this slope equals 3, this choice is the answer

So the answer is D)