# EQUATION OF THE LINE WORKSHEET WITH ANSWER

Equation of the Line Worksheet with Answer :

Here we are going to see, some practice questions on finding equation of the line.

## Equation of the Line Worksheet with Answer - Questions

(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

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

(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 After having gone through the stuff given above, we hope that the students would have understood, "Equation of the Line Worksheet with Answer".

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