Answer
$y = -5x +11$
Work Step by Step
We are told to find the equation of the line that satisfies the following conditions:
Passes through the points $(2,1), (1,6)$
To find the equation of the line we must find the slope: $m = \frac{y_2 -y_1}{x_2 - x_1}$
and then use point slope form: $y−y_1=m(x−x_1)$
$m =\frac{6-1}{1-2} = \frac{5}{-1} = -5$
$y− 1=-5(x− 2)$
$y=-5x +10 + 1$
$y = -5x +11$
