Points: (-3, -1) and (-7, -8) Slope: (-1--8)/(-3--7) = 7/4 or 1.75
If you mean points of (5, 1) and (2, -7) then the slope works out as 8/3
Slope = [change in y coordinate]/[change in x coordinate] = [3 - 0]/[7 - (-8)] = 3/15 = 1/5
Slope = [change in y]/[change in x] = [3 - 2]/[7 - (-1)] = 1/8
Points: (15, 8) and (7, 3) Slope: 5/8
3
Points: (-3, -10) and (5, -7) Slope: 3/8
The slope m' of a line perpendicular to a line with slope m is such that m'm = -1 → m' = -1/m A line with slope m' through point (X, Y) has equation: y - Y = m'(x - X) → The line perpendicular to 7x - 8y = 12 through p (-3, 1) is found: 7x - 8y = 12 → 8y = 7x - 12 → y = (7/8)x - 3/2 → The slope of 7x - 8y = 12 is m = 7/8 → The slope of the perpendicular line is m' = -1/m = -1/(7/8) = -8/7 → The line through P with this slope m' is: y - 1 = -8/7(x - -3) → y = (-8/7)x - 24/7 + 1 → y = (-8/7)x - 17/7 This can be rearranged into: y = (-8/7)x - 17/7 → 7y = -8x - 17 → 7y + 8x + 17 = 0
If you mean points of (5, 1) and (2, -7) then the slope works out as 8/3
Points: (-5, -7) and (-8, -8) Slope: 1/3 Equation: 3y = x -16
If you mean points of: (0, 1) and (4, 4) Then the slope is: 3/4
Slope = 7--3 over 0-8 = -5/4