SOLUTION: Hi! How are you all Today? So I am having a bit of trouble with this question. The problem is: Find the slope of a line between the points (5,3) and (-2,-3). pLease and Thank Y

Algebra ->  Algebra  -> Coordinate-system -> SOLUTION: Hi! How are you all Today? So I am having a bit of trouble with this question. The problem is: Find the slope of a line between the points (5,3) and (-2,-3). pLease and Thank Y      Log On

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Question 130378This question is from textbook algebra
: Hi! How are you all Today?
So I am having a bit of trouble with this question.
The problem is: Find the slope of a line between the points (5,3) and (-2,-3).
pLease and Thank You=)This question is from textbook algebra

Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

Let's denote the first point (5,3) as . In other words, and

Now let's denote the second point (-2,-3) as . In other words, and



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m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula

m=%28-3-3%29%2F%28-2-5%29 Plug in y%5B2%5D=-3,y%5B1%5D=3,x%5B2%5D=-2,x%5B1%5D=5


m=-6%2F-7 Subtract the terms in the numerator -3-3 to get -6. Subtract the terms in the denominator -2-5 to get -7

m=6%2F7 Reduce


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Answer:

So the slope of the line through the points (5,3) and (-2,-3) is m=6%2F7

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
slope=(y2-y1)/(x2-x1)=(-3-3)/(-2-5)=-6/-7=6/7 is the slope.
3=5*6/7+b
3=30/7+b
b=3-30/7
b=(21-30)/7
b=-9/7 the y intercept.
thus this line equation is:
Y=6X/7-9/7
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+6x%2F7+-9%2F7%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 6x/7 -9/7).