SOLUTION: Find the slope of the line through the points (10, 7) and (8, –10). Find the slope of the line through the points (–3, –2) and (–3, 0). Find the slope of the line thro

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line through the points (10, 7) and (8, –10). Find the slope of the line through the points (–3, –2) and (–3, 0). Find the slope of the line thro      Log On


   

Question 674402: Find the slope of the line through the points (10, 7) and (8, –10).

Find the slope of the line through the points (–3, –2) and (–3, 0).

Find the slope of the line through the points (–6, 3) and (5, 3).
Found 2 solutions by ReadingBoosters, MathLover1:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
slope = %28y1-y2%29%2F%28x1-x2%29
...
slope = %287--10%29%2F%2810-8%29+=+17%2F2
...
slope = %28-2-0%29%2F%28-3--3%29+=+-2%2F0 slope undefined; vertical line
...
slope = %283-3%29%2F%28-6-5%29+=+0%2F-11 no slope; horizontal line
..................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

1.
the line through the points (10, 7) and (8, –10)
the equation is:
Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (10, 7) and (x2, y2) = (8, -10).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-10-7%29%2F%288-10%29+=+8.5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 8.5%2A10+%2Bb+=+-78. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=7-8.5%2A10+=+-78.

y=(8.5)x + (-78)

Your graph:





the slope of the line y=8.5x+-78 is: 8.5
Solved by pluggable solver: Finding the slope


Slope of the line through the points (10, 7) and (8, -10)



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


m+=+%28-10+-+7%29%2F%288+-+10%29


m+=+%28-17%29%2F%28-2%29


m+=+17%2F2



Answer: Slope is m+=+17%2F2



m=17%2F2=8.5

2.
the line through the points (–3, –2) and (–3, 0)

Solved by pluggable solver: Finding the slope


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



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


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


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


m+=+%282%29%2F%280%29


Since you CANNOT divide by 0, this means that the slope of the line is undefined.


Answer: The slope of the line is undefined.




the slope of the line is: undefined

3.
the line through the points (–6, 3) and (5, 3)
the equation is: y=%280%29x+%2B+3...=>...y=3
Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-6, 3) and (x2, y2) = (5, 3).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%283-3%29%2F%285--6%29+=+0.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 0%2A-6+%2Bb+=+3. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=3-0%2A-6+=+3.

y=(0)x + (3)

Your graph:





the slope of the line is:
Solved by pluggable solver: Finding the slope


Slope of the line through the points (-6, 3) and (5, 3)



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+=+%283+-+3%29%2F%285+-+%28-6%29%29


m+=+%283+-+3%29%2F%285+%2B+6%29


m+=+%280%29%2F%2811%29


m+=+0



Answer: Slope is m+=+0