x = -3 produces a vertical straight line parallel to the y axis with an x intercept at -3.
A vertical line has an infinite (undefined) slope.
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The slope of the line defined by the equation x = 3 is infinite.
x = -3 represents a vertical line whose slope is undefined.
It equals the slope of the line y = -x. That's a pretty darn strong hint right there is what that is.
Any line with a slope of 1 is parallel to y=x-3.
The graph of the equation [ x = -3 ] is a straight vertical line, passingthrough the point [ x = -3 ] on the x-axis. Its slope is infinite.