None of the graphs represents the line y = x - 2
The given equation is:
y = x - 2
Comparing the equation with:
y = mx + c
The slope, m = 1
The y-intercept, c = -2
The y-intercept is the point where the line cuts the y axis
The only graphs that can possibly represent the line y = x - 2 are the first and the last graphs because they have a y-intercept of -2
We can test further by looking for the slopes of these graphs
For the first graph:
The slope = (4-(-2))/(4-0)
The slope = 6/4 = 1.5
The y-intercept = -2
For the last graph
The y-intercept = -2
The slope = (-2-0)/(0-(-3))
The slope = -2/3
Therefore, since none of the graphs have a slope of 1, none of them represents the line y = x - 2
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