Question

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.

Answer 1

• 1 (i).
• 
  `slope \: = - (1)/(6)`
• (ii).
• 
  `midpoints \: = (1 \: \: (17)/(2) )`
• (iii) .
• 
  `distance \: = √(37)`
• 2(i).
• 
  `slope \: = 2`
• 
  `gradient \: = - (1)/(2)`
• I Hope it helps :)