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

Answer :

• 1 (i).
• $slope \: = - \frac{1}{6}$
• (ii).
• $midpoints \: = (1 \: \: \frac{17}{2} )$
• (iii) .
• $distance \: = \sqrt{37}$
• 2(i).
• $slope \: = 2$
• $gradient \: = - \frac{1}{2}$
• I Hope it helps :)