Answer: The correct option is (A) (0, -1).
Step-by-step explanation: We are given to find the co-ordinates of the y-intercept of the function shown in the graph.
From the graph, we see that the line passes through the points (-6, -4) and (-2, -2).
So, the slope of the line is
[tex]m=\dfrac{-2-(-4)}{-2-(-6)}=\dfrac{2}{4}=\dfrac{1}{2}.[/tex]
Since the line passes through the point (-2, -2), so the equation of the line is given by
[tex]y-(-2)=m(x-(-2))\\\\\\\Rightarrow y+2=\dfrac{1}{2}(x+2)\\\\\Rightarrow 2y+4=x+2\\\\\Rightarrow x-2y=2~~~~~~~~~~~~~~~~~~~(i)[/tex]
At x = 0, we get from (i) that
[tex]0-2y=2\\\\\Rightarrow y=-\dfrac{2}{2}\\\\\Rightarrow y=-1.[/tex]
Thus, the y-intercept of the given line is (0, -1).
Option (A) is CORRECT.
