Advertisements
Advertisements
Question
Determine whether the following point is collinear.
A(–1, –1), B(0, 1), C(1, 3)
Solution
A(–1, –1), B(0, 1), C(1, 3)
Slope of AB = \[\frac{1 - \left( - 1 \right)}{0 - \left( - 1 \right)} = \frac{2}{1} = 2\]
Slope of BC = \[\frac{3 - 1}{1 - 0} = \frac{2}{1} = 2\]
Slope of AB = Slope of BC = 2
Thus, the given points are collinear.
RELATED QUESTIONS
Find the slope of the line passing through the points A(-2, 1) and B(0, 3).
Find the slope of the line perpendicular to AB if : A = (3, −2) and B = (−1, 2)
Without using the distance formula, show that the points A(4, −2), B(−4, 4) and C(10, 6) are the vertices of a right-angled triangle.
Find the slope of the line which is perpendicular to `x - y/2 + 3 = 0`
Angles made by the line with the positive direction of X–axis is given. Find the slope of these line.
90°
Find the slope of the lines passing through the given point.
T (0, –3) , S (0, 4)
Find the slope of the diagonals of a quadrilateral with vertices A(1, 7), B(6, 3), C(0, –3) and D(–3, 3).
Find the slope of a line, correct of two decimals, whose inclination is 45°
Find the slope of a line passing through the given pair of points (-5,-1) and (-9,-7)
Find the slope of a line passing through the given pair of points (0,5) and (5,0)
Find the value of a line perpendicular to the given line 5x+2y-9 = 0
Find the slope and the y-intercept of the following line 3x + y = 7
Find the slope and the y-intercept of the following line 4y = 5x - 8
Find slope of a line passing through the points A(3, 1) and B(5, 3).
Prove that A(4, 3), B(6, 4), C(5, 6) and D(3, 5) are the angular points of a square.
Find the image of a point (-1, 2) in the line joining (2, 1) and (- 3, 2).
The vertices of a triangle are A(10, 4), B(- 4, 9) and C(- 2, -1). Find the
