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.

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

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

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 = 5 and y-intercept = 3

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

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

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 = 5 and y-intercept = 3

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

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 = 5 and y-intercept = 3