Name: _______________________________________ Per: _______ Solving Systems by Graphing To solve systems by graphing, all you have to do is graph both lines and see where they meet. The point where they cross is called the SOLUTION to the system. EXAMPLE = −2 + 1 + 1 = 3 2 ( − 1) First, graph each line. Line #1 is in slopeint. form. Line #2 is in ptslope form. Then, see where they cross—that’s your solution! Line 1: = −2 + 1 = + slope: m = 2 = !! ! !"#$!! !"#!! yintercept: b =1 …so (0, 1) Line 2: + 1 = ! ! ( − 1) − ! = ( − ! ) slope: m = ! ! !"#$!! !"#!! point: ! =1 & ! =1 so…(1, 1) Number of solutions: ONE INF. MANY NONE If, only one, what is the… Solution: (1, 1) (where they cross) 1. 2 + 3 = 6 + 3 = 3( − 4) Line 1: 2 + 3 = 6 Line 2: + 3 = 3( − 4) Number of solutions: ONE INF. MANY NONE If, only one, what is the… Solution: __________ 2. = − ! ! + 3 = 2 − 2 Line 1: = − ! ! + 3 Line 2: = 2 − 2 Number of solutions: ONE INF. MANY NONE If, only one, what is the… Solution: __________ 3. − 2 = 3( + 1) = 3 + 5 Line 1: − 2 = 3( + 1) Line 2: = 3 + 5 Number of solutions: ONE INF. MANY NONE If, only one, what is the… Solution: __________ LINE 1 Rise -2 Run +1 LINE 2 Rise +3 Run +2 (1, -1) (1, -1) is where they cross! LINE 2 LINE 1