Question

Find the slope of line AB with the given end points.
1. A(4, −6) B(7, 2)
2. A(8, −4), B(−4, 8)
3. A(−2, −5), B(1, −7)

Answer 1

slope of line joining points (x1, y1) and (x2,y2) is given by m = (y2-y1)/(x2-x1) .

1. A (4, - 6) , B(7, 2)
slope of line joining points A(4, -6) and B(7, 2) = { 2 - (-6)}/{7 - 4}
= (2 + 6)/3 = 8/3

2. A(8, -4) , B(-4, 8)
slope of line joining points A(8,-4) and B(-4,8) = {8- (-4)}/{-4 - 8}
= (8 + 4)/(-12) = -12/12 = -1

3. A(-2,-5) , B(1,-7)
slope of line joining points A(-2,-5) and B(1,-7) = {-7 - (-5)}/{1 - (-2)}
= (-7 + 5)/(1 + 3) = -2/3

Answer 2

In the attachments I have answered  this problem......................................................   Concept:    Slope of line joining two points (x1, y1) and (x2, y2) is  (y2-y1)/(x2-x1).     See the attachment for detailed solution.