Question

Find a formula for the linear function passing through the points (-1,14) and (2,-10)

Answer 1

A(-1;14), x=-1, y=14

B(2;-10), x=2, y=-10

General equation for linear function is $y=mx+b$

Let's solve system of equations

$\displaystyle\\\left \{ {{14=-1m+b} \atop {-10=2m+b}} \right. \\\\\left \{ {{b=14+m} \atop {2m+b=-10}} \right. \\\\2m+(14+m)=-10\\3m=-24\\m=-8=>b=14+(-8)=6\\\text{Answer}: y=-8m+6$