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the vertices of a triangle are A(-2,1), B(2,2) and C(6,-2). find the equation of the altitude AD drawn from A to BC

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Answer:

To find the equation of the altitude from point A to side BC, we can use the formula for the equation of a line in point-slope form, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line.

We can find the slope of the line by using the formula for the slope of a line between two points:

m = (y2 - y1)/(x2 - x1)

We can use this formula to find the slope of line BC, which is the line connecting points B and C. Substituting the coordinates of these points into the formula gives us:

m = (2 - (-2))/(2 - 6) = 4/-4 = -1

Next, we can use the point-slope form of the equation of a line to find the equation of the altitude from point A to line BC. Substituting the coordinates of point A and the slope of line BC into the point-slope formula gives us:

y - 1 = -1(x + 2)

This is the equation of the altitude from point A to line BC.

Explanation:

SELF EXPLANATORY

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