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A. When the values of x vary.
B. When the values of y vary.
C. When the values of x are constant.
y = mx + b is the slope intercept form
if x = 0 ;
slope will be also equal to zero
y = m(0) + b
y = b ; where b is a constant term
Plotting the value of y to the graph gives a horizontal line. Which means that a slope of a line will be equal to zero when y are constant ( y = b)