Given the equation, y - x = 3x + 7
Add x to both sides to isolate y:
y - x + x = 3x + x + 7
y = 4x + 7 (This is the linear equation in slope-intercept form, y = mx + b). The rate of change is also the slope of the line, m = 4.
Therefore, the rate of change is 4.
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