how to determine an equation of a parallel line with one point

Question

line parallel to the x-axis and through (5;-3)

Answer 1

A line parallel to the x-axis is horizontal with a slope of zero and every point on that line has the same y-coordinate. Since the y-coordinate of the given point is -3, the equation of the target line is y = -3.

Here is a link to a Desmos graph showing lines with equations y = 0, y = -3 (and x = 5, a vertical line passing through the given point).

desmos.com/calculator/xowgevqkhm