WORKSHEET OF FINDING SLOPE OF THE LINE

(1)  Find the angle of inclination of the straight line whose slope is

(i) 1          (ii) √3            (iii) 0

Solution

(2)  Find the slope of the straight line whose angle of inclination is

(i) 30°       (ii) 60°         (iii) 90°

Solution

(3)  Find the slope of the straight line passing through the points

(i) (3 , -2) and (7 , 2)

(ii) (2 , -4) and origin

(iii) (1 + √3 , 2) and (3 + √3 , 4)          Solution

(4)  Find the angle of inclination of the line passing through the points

(i) (1, 2) and (2 , 3)

(ii) (3 , 3) and (0 , 0)

(iii) (a , b) and (-a , -b)           Solution

(5)  Find the slope of the line which passes through the origin and the midpoint of the line segment joining the points (0 ,- 4) and (8 , 0).         Solution

(6)  The side AB of a square ABCD is parallel to x-axis . Find the

(i) slope of AB (ii) slope of BC (iii) slope of the diagonal AC

Solution

(7)  The side BC of an equilateral Δ ABC is parallel to x-axis. Find the slope of AB and the slope of BC   Solution

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

(i) (2 , 3), (3 , -1) and (4 , -5)

(ii) (4 , 1), (-2 , -3) and (-5 , -5)

(iii) (4 , 4), (-2 , 6) and (1 , 5)           Solution

(9)  If the points (a, 1), (1, 2) and (0, b+1) are collinear, then show that (1/a) + (1/b) = 1           Solution

(10)  The line joining the points A(-2 , 3) and B(a , 5) is parallel to the line joining the points C(0 , 5) and D(-2 , 1). Find the value of a.       Solution

(11)  The line joining the points A(0, 5) and B(4, 2) is perpendicular to the line joining the points C(-1, -2) and D(5, b). Find the value of b.   Solution

(12)  The vertices of triangle ABC are A(1, 8), B(-2, 4), C(8, -5). If M and N are the midpoints of AB and AC respectively, find the slope of MN and hence verify that MN is parallel to BC.   Solution

(13)  A triangle has vertices at (6 , 7), (2 , -9) and (-4 , 1). Find the slopes of its medians               Solution

(14)  The vertices of a triangle ABC are A(-5 , 7), B(-4 , -5) and C(4,5). Find the slopes of the altitudes of the triangle.              Solution

(15)  Using the concept of slope, show that the vertices (1 , 2), (-2 , 2), (-4 , -3) and (-1, -3) taken in order form a parallelogram.                Solution

(16)  Show that the opposite sides of a quadrilateral with vertices A(-2 ,-4), B(5 , -1), C(6 , 4) and D(-1, 1) taken in order are parallel.               Solution

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