If you mean points of (-4, 3) and (3, 1) then the slope is -2/7
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It is: y = -31 and there is no x intercept or slope
If you mean points of (3, 1) and (0, -5) then the slope is 2
The line perpendicular to a line with a slope of 1/5 has a slope of -5.
The slope of a line is undefined if the line is vertical.
The slope of a line perpendicular to one with slope m is -1/m. So for a line with slope 1/7, any line perpendicular to it will have: slope = -1 / (1/7) = -7