Find the y-intercept of the line of the graph

Answer:
y=2
Step-by-step explanation:
Hello
we can use two points and find the equation of the line
let
P1(1,5) P2(-1,-1)
the slope is
[tex]m=\frac{y2-y1}{x2-x1}\\ m=\frac{-1-5}{-1-1}\\m=\frac{-6}{-2}\\\\m=3\\[/tex]
Now, with P1 and the slope-point equation find f(x)
[tex]y-y_{0}=m(x-x_{0})\\ y-5=3(x-1)\\y=3x+2[/tex]
the line interceptes y-axis when x=0,the value of y-intercept is
y=3(0)+2
y=0+2
y=2, intercept
I hope it helps
have a fantastic day