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Mathematics, 05.02.2021 01:20 alexseyreyes

Lines a and b represent a system of linear equations. Line a passes through the points (1,3) and (3,1). Line b passes through the point (-1,0) Which statement must be true?
1) If line b passes through the point (-2,1) then there are infinitely many solutions to the system of equations because the slopes of the lines are the same.
2) If line b passes through the point (0,1) then there is more than one solution to the system of equations because the lines are perpendicular.
3) If line b passes through the point (1,3) then there are infinitely many solutions to the system of equations because line a also passes through the point (1,3)
4) If line b passes through the point (1,-2) then there is no solution to the system of equations because the lines are parallel.

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