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Write an equation in the form y=mx+b that passes through the point (2,1) and has a y-intercept of 5.
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Week 6 Warm Up 09.23.11 1) write an equation that passes through the given point and y-intercept. ( 2, 1 ) ; b = 5
Rule 1 Statements must be first written in “if – then” form or biconditional form. If the statement or its converse is false you must give a counter example. Rule 2
Ex 1 Statement: x = 3 if and only if x2 = 9. Proper form? Yes – biconditional. Conditional Statement: If x = 3, then x2 = 9. Converse Statement: If x2 = 9 then, x = 3. Answer: True False Counter Example: Conditional statement is true, but the converse is false because x can equal -3.
Rule 3 If the statement and its converse are true write it in biconditional form. Ex 2 Statement: Adjacent Angles share a common side. Proper form:? No If two angles are adjacent, then they share a common side If – then: If two angles share a common side, then they are adjacent. Converse: Answer: True False Two angles are adjacent if and only if they share a common side. Biconditional:
Algebra Ex 3 Statement: If 3x + 2 = x + 12, then x = 5. Proper form:? Yes Converse: If x = 5, then 3x + 2 = x + 12 Answer: True False Biconditional: 3x + 2 = x + 12 if and only if x = 5
Review If the statement or its converse is false you must give a ______ ______. Do: 1 Write as a biconditional statement: A rectangle is a square when it has four congruent sides. Assignment: Textbook Page 83, 29 – 43 ODDS.