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The equation of a line passing through the point (0,4) and parallel to x-axis is y = 4. As the line is parallel to the x-axis it will have slope equal to zero (m= 0). On the line the value of the y- coordinate will always be constant and the x - coordinate will keep changing .
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General equation of line is y=mx+c where m is the slope
Slope of line parallel to x-axis is m=0
So y=(0)x+c⟹y=c
(0,4) lies on our required line y=c
⟹4=0(0)+c
⟹c=4
Equation of the line is y=4
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