SOLUTION: A triangle has vertices J(-2,0), K(4,-3) and L(8,8). a) Find the equation for the altitude from vertex L to side JK b) Find the length of the altitude

Question 848280: A triangle has vertices J(-2,0), K(4,-3) and L(8,8).
a) Find the equation for the altitude from vertex L to side JK
b) Find the length of the altitude
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Part (a) is done like this:

(1) Use J and K to find the line JK.
(2) Solve for y and identify the slope of JK.
(3) Form the negative reciprocal of the slope of JK, calling it m.
(4) As slope intercept form, the altitude is on a line, y=mx+b.
(5) Using b=y-mx, substitute coordinates of point L(8,8) and compute b.
(6) Steps 4 and 5 give you information to write the line which contains this altitude.
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