What is the equation of the line that passes through the points (−2,1) and (4,5) in the Cartesian coordinate plane?

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01-03-2018
Mathematics

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What is the equation of the line that passes through the points (−2,1) and (4,5) in the Cartesian coordinate plane?

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galinasem2 galinasem2 · Answer 1 · 2018-03-01T18:07:27+01:00

galinasem2 galinasem2

01-03-2018

The straight line is given by the equation
y=kx+b
We substitute coordinates of points
1=-2k+b (1)
5=4k+b (2)
We give a system of equations
Solution of this system:
(1) b=1+2k
(2) 5=4k+1+2k
6k=4
k=2/3
b=1+4/3=7/3
y=2/3x+7/3

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