The linear function equation represented by the graph is 
Further explanation:
The linear equation with slope
and intercept
is given as follows.

The formula for slope of line with points
and
can be expressed as,

Given:
Explanation:
From the graph it has been observed that the line passes through the points
and 
The line intersect y-axis at 
Therefore, the y-intercept is 1.
The line the line passes through the points
and 
The slope can be obtained as follows,

The slope of the line is 
Substitute
for m and 1 for c in equation
to obtain the equation of the line.

The linear function equation represented by the graph is 
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: graph function, numbers, slope, slope intercept, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.