No, they are perpendicular.
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Any line with a slope of 1 is parallel to y=x-3.
For the line y = 3 , there is no x-intersect., because y = 3 is a parallel line with y- 0 ( the x-axis).
The is a straight line parallel to the y-axis with an x intercept at -3.
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.
It equals the slope of the line y = -x. That's a pretty darn strong hint right there is what that is.