Answer:
3x -4y -6 = 0
Step-by-step explanation:
One of the ways the equation can be written is ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(3 -(-3))(x -(-2)) -(6 -(-2))(y -(-3)) = 0
6(x+2) -8(y +3) = 0
6x +12 -8y -24 = 0
Factoring out a common factor of 2, we get the general form equation for the line:
3x -4y -6 = 0
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This can be rearranged to give other forms:
3x -4y = 6 . . . . standard form
y = 3/4x -3/2 . . . . slope-intercept form
y +3 = 3/4(x +2) . . . . point-slope form
