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to find the slope of the line passing through the points (x1,y1) and (x2,y2) you must do: (y2-y1) / (x2-x1) for the points (3,5) and (4,6): (6-5) / (4-3). you only need two points.
To make perpendicular lines, draw a horizontal line. Then using a compass or tracing around the edge of a curved object, draw one circle ( or just a semi-circle) so that it crosses the horizontal straight line in at least one point. Now rotate the compass or move the curved object to draw another circle (or semi-circle). This second circle (or semi-circle) must cross through the horizontal straight line as the first one did. It also must cross through the first circle (or semi-circle) at two points- above the horizontal straight line and below the horizontal straight line. Next, draw a straight line from where the two circles (or semi-circles) meet above the horizontal straight line through to where they meet below the horizontal straight line. You now have a line perpendicular to the first line.
A line must be in 2-dimensional space to have a slope. In 2-d space, each point is identified by an ordered pair of coordinates. The points in the question are not and so it is not possible to answer the question.