Question

Indicate in standard form the equation of the line passing through the given points.

M(0, 6), N(6, 0)

Answer 1

Well, the standard form (or implicit form) is,
\[A x+ By = C\]
But in order to get it, I prefer to obtain this,
\[y=mx+n\]
First, we find m, the slope,
\[m=\frac{0-6}{6-0}=-1\]
Then, we have,
\[y=-x+n\]
We use now one point of the problem, for example, (0,6), then,
\[6=-0+n\Rightarrow n=6\]
So, you have,
\[y=-x+6\]
Reordering,
\[x+y=6\]