Answer:
2x + y - 11 = 0
Step-by-step explanation:
When the slope of a line and a point passing through a point are given, we use slope and one point formula to determine the equation of the line.
The equation of the line is given by:
[tex]$ (y - y_1) = m (x - x_1) $[/tex]
where [tex]$m$[/tex] is the slope of the line and
[tex]$ (x_1,y_1) $[/tex] is the point passing through it.
Substituting we get: [tex]$ y - 1 = -2 (x - 5)$[/tex]
[tex]$ \implies y - 1 = - 2x + 10 $[/tex]
On rearranging and simplifying we get [tex]$ 2x + y - 11 = 0 $[/tex]
