Answer:
[tex]\boxed{y = -2x + 8}[/tex]
Step-by-step explanation:
Equation of a straight line: y = kx + b
Points: (8,-8) and (1,6)
Сompose the system of equations:
[tex]\displaystyle \left \{ {{-8= 8k + b} \atop {6= k + b}} \right[/tex] [tex]\displaystyle \left \{ {{b= -8 - 8k} \atop {b=6 - k}} \right \Longrightarrow -8 - 8k = 6 - k[/tex]
[tex]-8 - 8k = 6 - k[/tex]
[tex]-7k = 14|:(-7)[/tex]
[tex]k = -2[/tex]
[tex]b = 6 - k = 6 - (-2) =6 + 2 = 8[/tex]
[tex]y = -2x + 8[/tex]
