Given:
The graph of linear function.
To find:
The equation for the linear function.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
From the given graph it is clear that the line has downward slope. It means, slope or value of m must be negative.
The line intersect the y-axis in positive direction of y-axis. It means, y-intercept or value of b must be positive.
From the given options, only is option (3), i.e., [tex]y=-2x+1[/tex], then value of m=-2 is negative and value of b=1 is positive.
Therefore, the correct option is (3).
