The equation of line which passes through (1, -4) and whose slope is 0 is y = -4.
According to the given question.
A line passes throught the point (1, -4) and its slope is 0.
Let the equation of the line be y = mx + b.
Where,
m is the slope of the line
and b is the y intercept.
Since, the line is passing through (1, -4) and slope is 0 i.e. m = 0.
Therefore, m = 0 and (x, y) = (1, -4) must statisfy y = mx + b.
-4 = 1(0) + b
⇒ -4 = b
⇒ b = -4
Therefore, the equation of line which passes through (1, -4) and whose slope is 0 is y = -4.
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