# Three points 2

The three points A(3, 8), B(6, 2) and C(10, 2). The point D is such that the line DA is perpendicular to AB and DC is parallel to AB. Calculate the coordinates of D.

Result

x =  6.2
y =  9.6

#### Solution:

(x-3)*(6-3) + (y-8)*(2-8) = 0
(x-10) = (y-2) * (6-3)/(2-8)

3x-6y = -39
x+0.5y = 11

x = 315 = 6.2
y = 485 = 9.6

Calculated by our linear equations calculator.

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Dr Math

#### To solve this example are needed these knowledge from mathematics:

For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc. Two vectors given by its magnitudes and by included angle can be added by our vector sum calculator. Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? See also our right triangle calculator.

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