Question

Q1 Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.

Answer 1

Slope: -1/6

Midpoint of AB: (1, 8.5)

Distance of AB: √37

Explanation:

Slope formula:
`m = (y2-y1)/(x2-x1)`

Midpoint formula:
`((x1+x2)/(2) ,(y1+y2)/(2) )`

Distance formula:
`d = \sqrt{(x2-x1)^(2)+(y2-y1)^(2)}`