Graph, origin O, no grid. Lines l, m, n. Line l, y intercept -2. Line m, y intercept 4, labeled D. Line n, y intercept 0, labeled E. Point A on line l. Point H on lines l and n. Point E on line n. Point G on lines n and m. Point K on line m. Point J not on any line plotted at 2 comma 0. 

Decide if each statement is true or false. Explain your reasoning.

1. The point  represents a solution to the equation for line .
2. The coordinates of the point make both the equation for line and the equation for line true.
3. makes the equation for line and the equation for line true.
4. There is not a solution to the equation for line that has .
5. The coordinates of point are a solution to the equation for line .
6. There are exactly two solutions to the equation for line .
7. There is a point whose coordinates make the equations of all three lines true.
8. is a solution to the equation for line .

Discuss your thinking with your partner. If you disagree, work to reach an agreement.

Your teacher will give you a set of cards. One partner has 6 cards labeled A through F and one partner has 6 cards labeled a through f. Cards with the same letter, for example Cards A and a, have an equation on one card and a coordinate pair  that makes the equation true on the other card. Take turns asking your partner for either the - or -coordinate value and using it to solve your equation for the other value. 

1. The partner with the equation asks the partner with a solution for either the -value or the -value.

2. The partner with the equation uses this value to find the other value, explaining each step as they go.

3. The partner with the coordinate pair checks their partner’s work. If the coordinate pair does not match, both partners should look through the steps to find and correct any errors. Otherwise, both partners move onto the next set of cards. 

Keep playing until you have finished all the cards.