ari3238 ari3238

01-04-2020
Mathematics

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A line contains the points (4,2) and (0,-1). What is the equation of the line?

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nktselepov nktselepov

01-04-2020

the equation of the line is

[tex]y=kx+b[/tex]

let's create a system of equations

[tex]\left \{ {{2=4k+b} \atop {-1=0k+b}} \right. \\b=-1\\\\2=4x-1\\4k=3\\k=0,75[/tex]

so, the equation of the line is

[tex]y=0,75x-1[/tex]

P.S. Hello from Russia

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