Find the equation of the straight line passing through origin and the point of intersection of the lines x + 2y = 7 and x - y = 4.

Solving x + 2y = 7 and x - y = 4 simultaneously, ⇒ x + 2y = 7 ⇒ x = 7 - 2y .......(1) Substituting above value of x in x - y = 4 we get, ⇒ 7 - 2y - y = 4 ⇒ -3y = 4 - 7 ⇒ -3y = -3 ⇒ y = 1. Substituting y = 1 in equation 1 we get, ⇒ x = 7 - 2(1) = 5. Point of intersection = (5, 1). Slope of line passing through (0, 0) and (5, 1) = By point-slope form, Substituting values we get, ⇒ y - 0 = ⇒ 5(y - 0) = 1(x - 0) ⇒ 5y = x ⇒ x - 5y = 0. Hence, equation of the straight line passing through origin and the point of intersection of the lines x + 2y = 7 and x - y = 4 is x - 5y = 0.

In △ABC, A (3, 5), B (7, 8) and C (1, -10). Find the equation of the median through A.

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Find the equation of the perpendicular dropped from the point (-1, 2) onto the line joining the points (1, 4) and (2, 3).

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The following figure shows a parallelogram ABCD whose side AB is parallel to the x-axis, ∠A = 60° and vertex C = (7, 5). Find the equations of BC and CD.

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In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A.
Also, find the equation of the line through vertex B and parallel to AC.

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Mathematics

Find the equation of the straight line passing through origin and the point of intersection of the lines x + 2y = 7 and x - y = 4.

Straight Line Eq

Related Questions

In △ABC, A (3, 5), B (7, 8) and C (1, -10). Find the equation of the median through A.

Find the equation of the perpendicular dropped from the point (-1, 2) onto the line joining the points (1, 4) and (2, 3).

The following figure shows a parallelogram ABCD whose side AB is parallel to the x-axis, ∠A = 60° and vertex C = (7, 5). Find the equations of BC and CD.

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A.
Also, find the equation of the line through vertex B and parallel to AC.

Mathematics

Find the equation of the straight line passing through origin and the point of intersection of the lines x + 2y = 7 and x - y = 4.

Straight Line Eq

Related Questions

In △ABC, A (3, 5), B (7, 8) and C (1, -10). Find the equation of the median through A.

Find the equation of the perpendicular dropped from the point (-1, 2) onto the line joining the points (1, 4) and (2, 3).

The following figure shows a parallelogram ABCD whose side AB is parallel to the x-axis, ∠A = 60° and vertex C = (7, 5). Find the equations of BC and CD.

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A.Also, find the equation of the line through vertex B and parallel to AC.

In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (-2, 3) and (0, 1) respectively. Find the equation of median through vertex A.
Also, find the equation of the line through vertex B and parallel to AC.