Question

What is the equation of the line that contains the points (3, –6) and (–3, 0)?

A.
y = x – 3
B.
y = –x – 3
C.
y = –x + 3
D.
y = x + 3

Answer 1

Consider this option:
Common equation for the line is 'y=kx+b', where k&b - numbers, x&y - coordinates.
1) using the points it's possible to make up the system of equations:

`\left \{ {{-6=3k+b} \atop {0=-3k+b}} \right. \ =\ \textgreater \ \ \left \{ {{3k+b=-6} \atop {-3k+b=0}} \right.`
b=-3 and k=-1
2) y=-x-3
Answer: B.