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

Let P = (-1, 2) Let A and B be the points (1, 4) and (2, 3). We know that, Product of slope of perpendicular lines is -1. Let slope of line through P be m. ∴ m × Slope of AB = -1 ⇒ m × -1 = -1 ⇒ -m = -1 ⇒ m = 1. By point-slope form, Equation of line through P, ⇒ y - y 1 = m(x - x 1 ) ⇒ y - 2 = 1[x - (-1)] ⇒ y - 2 = 1(x + 1) ⇒ y - 2 = x + 1 ⇒ y - x = 1 + 2 ⇒ y - x = 3 ⇒ y = x + 3 Hence, equation of the perpendicular dropped from the point (-1, 2) onto the line joining the points (1, 4) and (2, 3) is y = x + 3.

Find the equation of the line, whose :
x-intercept = -4 and y-intercept = 6

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Find the equation of the line, whose :
x-intercept = 5 and y-intercept = 3

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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.

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

Straight Line Eq

Related Questions

Find the equation of the line, whose :
x-intercept = -4 and y-intercept = 6

Find the equation of the line, whose :
x-intercept = 5 and y-intercept = 3

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.

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

Straight Line Eq

Related Questions

Find the equation of the line, whose :x-intercept = -4 and y-intercept = 6

Find the equation of the line, whose :x-intercept = 5 and y-intercept = 3

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.

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.

Find the equation of the line, whose :
x-intercept = -4 and y-intercept = 6

Find the equation of the line, whose :
x-intercept = 5 and y-intercept = 3

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.