1. Ax + By = C Form: x- and y- intercepts
Lesson 5-7

2. Review When given Ax + By = C, and asked to graph…  y = mx + b
**goal: is to change to y = mx + b, by ISOLATING the y
y-intercept (aka “b”):
The point at which a line on a graph intercepts/crosses the y-axis
x-intercept:
The point at which a line on a graph intercepts/crosses the x-axis

3. X- and Y- Intercepts
X- and Y- intercepts… what does that mean? WHERE on the x-axis/y-axis the line passes (Just TWO points  on x and y)

4. Find the x- and y- intercepts of the equation: 3x + 4y = 12
Find the x-intercept: 3x + 4y = 12 *let y = 0 3x + 4(0) = 12 3x = 12 x = 4
Find the y-intercept:
3x + 4y = 12
*let x = 0
3(0) + 4y = 12
4y = 12
y = 3

5. Find the x- and y- intercepts of the equation: 2x – y = 4
Find the x-intercept: 2x – y = 4 *let y = 0 2x – (0) = 4 2x = 4 x = 2
Find the y-intercept:
2x – y = 4
*let x = 0
2(0) – y = 4
-y = 4
y = -4

6. Practice
Find the x- and y- intercepts of: A) 10x – 2y = 20 B) 5x + 2y = -10

7. Homework
p. 249 #15, 18, 19, 20, 22 (solve x- and y-) #33,34, (graph all problems BUT 33, 34)