SOLUTION: what is the slope of a line containing points (2,-1) and (3,5)

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Question 1207024: what is the slope of a line containing points (2,-1) and (3,5)

Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
what is the slope of a line containing points (2,-1) and (3,5)
Using the slope formula m =%28y2+-+y1%29%2F%28x2+-x1%29
x1 = 2
x2 = 3
y1 = -1
y2 = 5
m =%285+-+%28-1%29%29%2F%283+-+2%29 = 6%2F1
m = 6 is the slope
Create the equation using y - y1 = m(x - x1)
y -(-1) = 6(x - 2)
y + 1 = 6x - 12
y = 6x -12 - 1
y = 6x -13
which is
+graph%28+300%2C+200%2C+-6%2C+10%2C+-15%2C+10%2C+6x-13%29+

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
what is the slope of a line containing points (2,-1) and (3,5)
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The formula for the slope of a straight line passing through two given points    (x%5B1%5D,y%5B1%5D)    and    (x%5B2%5D,y%5B2%5D)    is

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


In your case, x%5B1%5D = 2,  y%5B1%5D = -1,  x%5B2%5D = 3,  y%5B2%5D = 5,


Substitute these values into the formula and calculate

    m = %285-%28-1%29%29%2F%283-2%29 = 6%2F1 = 6.


Answer.  The slope is 6.

Solved.

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    - Find the slope of a straight line in a coordinate plane passing through two given points
in this site.