SET A
- Find the slope of the line passing through the following points. A(3,4) and B(-2,-1).
- If A(6,1), B(0,-5), C(-8,-3)and D(-2,3) are the vertices of ⇳ABCD, Show that it is a parallelogram.
- The vertices of a triangle are P( 1, -1) , Q (-1, 1) and R (-3, -2). Find the slope of each side of ∆PQR.
- Find the value of k, if the given points are collinear. A(4,11) B(2,5) C(6,k).
- Find the value of k, if the slope of the line joining the points (2,10) and (k,4) is 3 / 4 .
Answers: (1) 1 (3) Slope of PQ = -1, Slope of QR = 3/2, Slope of PR = 1/4. (4) k = 17 (5) k = - 6
SET B
- Find the slope and y - intercept of the line: 2y=3x-6
- Write the equation of the line if m = 2 and c = -5
- Write the equation of the given line in slope-intercept form. 4x-3y+2=0.
- If (10,5) is a point on the line 5x - 7y = c, find c.
- If (-3,-2) is a point on the line 3y = mx-9, find m.
Answers: (1) Slope = 3/2, y-intercept = -3 (2) y = 2x-5 (3) y = 4x3 +2/3 (4) c = 15 (5) m = -1