The slope is undefined.
Points: (-2, 1) and (0, -3) Slope: -2
Points: (3, -2) and (0, 4) Slope: -2
6
If you mean points of (3, 1) and (0, -5) then the slope is 2
3/5
Points: (0, 0) and (2, 6) Slope: 3
If the points are: (0, 3) and (8, -3) then the slope works out as -3/4
Points: (-2, 1) and (0, -3) Slope: -2
Points: (0, 7) and (8, -3) Slope: -5/4
The slope is zero.
Slope: (2-4)/(0--3) = -2/3 Perpendicular slope: 3/2
No. A horizontal line has a slope of 0. A vertical line has an undefined slope. Let's say you have a vertical line with the points (3,-2) and (3,4). The slope is (y1-y2)/(x1-x2) = (-2-4)/(3-3) = -6/0 = undefined. Notice that x is the same for both points. A line in which all points have the same value for x is a vertical line and as such has an undefined slope.
Points: (3, -2) and (0, 4) Slope: -2
Points: (3, 5) and (4, 5) Slope: 0
6
If you mean points of (3, 1) and (0, -5) then the slope is 2
The slope of the line joining the two pints is (4 - 2)/(-3 - 0) = -2/3 Therefore the slope of the perpendicular is 3/2