Question

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

Answer 1

the equation of the line is

$y=kx+b$

let's create a system of equations

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

so, the equation of the line is

$y=0,75x-1$

P.S. Hello from Russia