Q8 of 112 Page 156

Using the concept of slope, show that each of the following set of points are collinear.

(4, 1), (–2, –3) and (–5, –5)

(4, 1), (–2, –3) and (–5, –5)


Let A (4, 1), B (–2, –3) and C (–5, –5) be the given points


If the given point is collinear then,


Slope of AB = slope of BC


Slope of line passing through (x1, y1) and (x2, y2) is



Slope of AB:





Slope of BC:






Therefore, the given points are collinear.


More from this chapter

All 112 →
7

The side BC of an equilateral 3ABC is parallel to x–axis. Find the slope of AB and the slope of BC.

 8

Using the concept of slope, show that each of the following set of points are collinear.

(2, 3), (3, –1) and (4, –5)

 8

Using the concept of slope, show that each of the following set of points are collinear.

(4, 4), (–2, 6) and (1, 5)

 9

If the points (a, 1), (1, 2) and (0, b + 1) are collinear, then show that .