Mathegoras

Coordinate geometry › Straight lines › Angle of inclination

Counting lines with acute inclination

High school · ●●●○○ 50 pts

Let the line ax+by+c=0ax+by+c=0 have aa, bb, cc as three different elements of the set {−3,−2,−1,0,1,2,3}\{-3,-2,-1,0,1,2,3\}, and suppose the inclination angle of the line is acute. Find the number of distinct such lines.

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countingslope of a line