Answer:
y = x - 1
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (5, 4) and (2, 1). Substitute:
[tex]m=\dfrac{1-4}{2-5}=\dfrac{-3}{-3}=1\\\\y-1=1(x-2)[/tex]
[tex]y-1=x-2[/tex] add 1 to both sides
[tex]y=x-1[/tex]
