Answer:
[tex]y=\frac{1}{2}x+2[/tex]
Step-by-step explanation:
Since, the graph of the function is a straight line, function defining this function will be a linear function.
Let the equation of the line is,
y = mx + b
where m = slope of the line
b = y-intercept
From the graph,
b = 2
And two points (0, 2) and (-2, 1) lie on this line.
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{0+2}[/tex]
= [tex]\frac{1}{2}[/tex]
Now the equation will be,
y = [tex]\frac{1}{2}x+2[/tex]
