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The equation that is represented by the graph above is: A. y = x + 2.
To write the equation of a graph, first find the values of the slope, m, and the y-intercept, b, then substitute the values into y = mx + b.
Given the graph above, find the slope:
Slope (m) = rise/run = 2 units / 2 units
Slope (m) = 1
The line intercepts the y-axis at point 2. Therefore, the y-intercept, b = 2.
To write the equation of the graph, in slope-intercept form, substitute m = 1 and b = 2 into y = mx + b:
y = x + 2.
The equation is therefore: A. y = x + 2.
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