Answer:
[tex]\boxed{y = 0,5x + 2,5}[/tex]
Step-by-step explanation:
Equation of a straight line: y = kx + b
Points: (-1,2) and (3,4)
Сompose the system of equations:
[tex]\displaystyle \left \{ {{2=-k + b} \atop {4=3k + b}} \right[/tex] [tex]\displaystyle \left \{ {{b= k + 2} \atop {b=4 - 3k}} \right \Longrightarrow 2 + k = 4 - 3k[/tex]
[tex]2 + k = 4 - 3k[/tex]
[tex]4k = 2|:4[/tex]
[tex]k = 0,5[/tex]
[tex]b = k + 2 = 0,5 + 2 = 2,5[/tex]
[tex]y = 0,5x + 2,5[/tex]
