Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.

1. The y-intercept of the line with equation 2x + 3y = 5 is 5/3.
2. To find the equation of a line, it is sufficient to know two points on the line.
3. The point P(1, 1) lies on the circle with radius 1 and center (1, 1).
4. A system of two linear equations has exactly one solution.
5. If three vertices of a parallelogram are (0, 0), (2, 0) and (5, 4), then the fourth vertex is (7, 4).
6. If three of the vertices of a rectangle are (-a, 0), (a, 0) and (-a, b), then the fourth vertex is (a,-b).


1. T
2. T
3. F: The center is not on the circle.
4. F—It may also have no solution or infinitely many solutions.
5. T
6. F—The fourth vertex is at (a, b).

Mathematics

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