EQUATION OF THE LINE WORKSHEET WITH ANSWER

(1)  Find the slope of the following straight lines

(i) 5y −3 = 0           Solution

(ii) 7 x - (3/17)  = 0          Solution

(2)  Find the slope of the line which is

(i) parallel to y = 0.7x −11          Solution

(ii)  perpendicular to the line x = −11          Solution

(3)  Check whether the given lines are parallel or perpendicular

(i)  (x/3) + (y/4) + (1/7) = 0 and (2x/3) + (y/2) + (1/10) = 0

Solution

(ii) 5x + 23y + 14 = 0 and 23x − 5y + 9 = 0

Solution

(4)  If the straight lines 12y = −(p + 3)x +12 , 12x −7y = 16 are perpendicular then find ‘p’.     Solution 

(5)  Find the equation of a straight line passing through the point P(-5,2) and parallel to the line joining the points Q(3,-2) and R(-5, 4) .      Solution

(6)  Find the equation of a line passing through (6,–2) and perpendicular to the line joining the points (6,7) and (2,–3).           Solution

(7)  A(-3, 0) B(10, -2) and C(12, 3) are the vertices of triangle ABC . Find the equation of the altitude through A and B.     Solution

(8)  Find the equation of the perpendicular bisector of the line joining the points A(-4, 2) and B(6, -4).   Solution

(9)  Find the equation of a straight line through the intersection of lines 7x + 3y = 10, 5x − 4y = 1 and parallel to the line 13x + 5y +12 = 0       Solution

(10)  Find the equation of a straight line through the intersection of lines 5x −6y = 2, 3x + 2y = 10 and perpendicular to the line 4x −7y +13 = 0    Solution

(11)  Find the equation of a straight line joining the point of intersection of 3x + y + 2 = 0 and x − 2y − 4 = 0 to the point of intersection of 7x − 3y = −12 and 2y = x + 3   Solution

(12)  Find the equation of a straight line through the point of intersection of the lines 8x + 3y = 18, 4x + 5y = 9 and bisecting the line segment joining the points (5,–4) and (–7,6).       Solution

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