Equation of Line Worksheet



In this page equation of line worksheet we are going to see some practice question. You can find solution for each questions with clear explanation.

(1) Write the equations of the straight lines parallel to x-axis which are at a distance of 5 units from the x-axis

Solution

(2) Find the equations of the straight lines parallel to the coordinates axes and passing through the point (-5,-2)

Solution

(3) Find the equation of a straight line whose

(i) Slope is -3 and y-intercept is 4.

(ii) Angle of inclination is 60 degree and y-intercept is 3.

Solution

(4) Find the equation of the line intersecting the y-axis at a distance of 3 units above the origin and tan Ѳ = 1/2, where θ is the angle of inclination.

Solution

(5) Find the slope and y-intercept of the line whose equation is

(i) y = x + 1       

(ii) 5x = 3y          

(iii) 4 x – 2 y + 1 = 0

(iv)  10 x + 15 y + 6 = 0

Solution

(6) Find the equation of the straight line whose

(i) Slope is -4 and passing through (1,2)

(ii) Slope is 2/3 and passing through (5,-4)

Solution

(7) Find the equation of the straight line which passes through the midpoint of the line segment joining (4,2) and (3,1) whose angle of inclination is 30 degree.

Solution

(8) Find the equation of the straight line passing through the points

(i) (-2 , 5) and (3 , 6)

(ii) (0 , -6) and (-8 , 2)

Solution

(9) Find the equation of the median from the vertex R in a triangle PQR with vertices at P(1,-3),Q(-2,5) and R (-3 ,4))

Solution

(10) By using the concept of the equation of the straight line,prove that the given three points are collinear.

(i)  (4,2) (7,5) and (9,7)

(ii)  (1,4) (3,-2) and (-3,16)

Solution

(11) Find the equation of the straight line whose x and y-intercepts on the axes are given by

(i) 2 and 3

(ii) -1/3 and 3/2

(iii)  2/5 and -3/4

Solution

(12) Find the x and y intercepts of the straight line

(i) 5 x + 3 y - 15 = 0

(ii) 2 x - y + 16 = 0

(iii) 3 x + 10 y + 4 = 0

Solution

(13) Find the equation of the straight line passing through the point (3 , 4) and has intercepts which are in the ratio 3 :2

Solution

(14) Find the equation of the straight lines passing through the point (2,2) and sum of the intercepts is 9.

Solution

(15) Find the equation of the straight line passing through the point (5,-3) and whose intercepts on the axes are equal in magnitude but opposite in sign.

Solution

(16) Find the equation of the line passing through the point (9,-1) and having its intercepts thrice and its y-intercept.

Solution

(17) A straight line cuts coordinate axes at A and B. If the midpoint of AB is (3,2), then find the equation of AB.

Solution

(18) Find the equation of the line passing through (22,-6) and having intercept on x-axis exceeds the intercept on y-axis by 5.

Solution

(19) If A(3,6) and C(-1,2) are two vertices of rhombus AB,then find the equation of straight line that lies along the diagonal BD.

Solution

(20) Find the equation of the line whose gradient is 3/2 and which passes through P, where  divides the line segment joining A(-2,6) and B(3,-4) in the ratio 2:3

Solution

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