Answer
$y=-5x+11$
Work Step by Step
First, we find the slope.
To find the slope of the line passing through $(2,1)$ and $(1,6)$,
we use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$.
Plug in the given values of $x$ and $y$: $m=\frac{6-1}{1-2}$.
Simplify to arrive at the slope: $m=-{5}$.
We plug in the slope and the values of $x$ and $y$ into the equation $y=mx+b$:
$1=-5(2)+b$.
Solve for $b$:
$1=b-10$
$b=11$.
Plug in the values of $m$ and $b$ into the formula to find the equation of the line:
$y=-5x+11$.
