SOLUTION: Find an equation of the line containing the given pair of points in​ point-slope form. ​(1​,5​) and ​(3​,6​)

Algebra ->  Graphs -> SOLUTION: Find an equation of the line containing the given pair of points in​ point-slope form. ​(1​,5​) and ​(3​,6​)       Log On


   

Question 1151957: Find an equation of the line containing the given pair of points in​ point-slope form.
​(1​,5​) and ​(3​,6​)
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Find an equation of the line containing the given pair of points in​ point-slope form.
​(1​,5​) and ​(3​,6​)
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Find an equation of the line containing the given pair of points in​ point-slope form.
​(p,v​) and ​(h,k​)
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highlight%28y-k=%28%28v-k%29%2F%28p-h%29%29%28x-h%29%29
This IS in point-slope form.
Slope is %28v-k%29%2F%28p-h%29, and the point "picked" was (h,k).

You can use your actual given points and use the same format and simplify.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

equation of the line containing the given pair of points in​ point-slope form:
y-y%5B1%5D=m%28x-x%5B1%5D%29
use given points to calculate slope:
​(1​,5%E2%80%8B) and ​(3%E2%80%8B,6​)
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m=%286-5%29%2F%283-1%29
m=1%2F2

so, y-y%5B1%5D=%281%2F2%29%28x-x%5B1%5D%29
use one point again; (1​,5%E2%80%8B)
y-5=%281%2F2%29%28x-1%29
y=%281%2F2%29%28x-1%29%2B5
y=%281%2F2%29x-1%2F2%2B5
y=%281%2F2%29x-1%2F2%2B10%2F2
y=%281%2F2%29x%2B9%2F2