2. Section 5.7 Ax+By=C Form Definitions of the Day (DODs) 1. Ax+By=C Form 2. X-Intercept 3. Y-Intercept

3. Definition : Ax+By=C is a linear equation, where A and B cannot BOTH be zero. X-Intercept: The point at which a graph crosses the X- axis Y-Intercept: The point at which a graph crosses the Y- axis

4. Let’s Examine (0,2)(0,2) (3,0) What is Special About These Two Points??? What is Special About These Two Points???

5. How to graph a line in Ax+By=C Form 1. To find the X-Intercept, Set Y=0 2. To find the Y-Intercept, Set X=0 1. To find the X-Intercept, Set Y=0 2. To find the Y-Intercept, Set X=0

6. Note! Zero is your friend!!

7. Example Graph 3x+4y=8 To find the X-Intercept, Set Y=0 To find the X-Intercept, Set Y=0 To find the Y-Intercept, Set X=0 To find the Y-Intercept, Set X=0

8. Graph 5x-3y=30 Example To find the X-Intercept, Set Y=0 To find the X-Intercept, Set Y=0 To find the Y-Intercept, Set X=0 To find the Y-Intercept, Set X=0

9. Your Turn!! Graph 12x+15y=-60 Graph 3x-4y=12

10. Sentence Frames 1. The X-Intercept is________________ ______________________________ 2. The Y-Intercept is________________ ______________________________ 3. To Find the X-Intercept I set_______ ______________________________ 4. To find the Y-Intercept I set _____ ______________________________ 1. The X-Intercept is________________ ______________________________ 2. The Y-Intercept is________________ ______________________________ 3. To Find the X-Intercept I set_______ ______________________________ 4. To find the Y-Intercept I set _____ ______________________________