blank notes on standard form and forms of lines

1. Standard Form
Section 4.3 pages 233-238

2. Standard Form
𝐴𝑥 + 𝐵𝑦 = 𝐶
𝐴, 𝐵, 𝑎𝑛𝑑 𝐶 are any integers
𝐴 must be positive
This is the formal way to write the equation of a line. Not the most popular.

3. Given the line 𝑦 + 7 = −5(𝑥 + 3)
write it in Standard Form.

4. Write an equation in standard from for the line
with slope −
1
2
, passing through point 4,3 .

5. Find the slope of the line 5𝑥 + 2𝑦 = 26.

6. What is the y-intercept of the line 3𝑥 + 6𝑦 = 24?
What is the x-intercept of the line 3𝑥 + 6𝑦 = 24?

7. Graph the line 3𝑥 + 6𝑦 = 24?
Use the x and y intercepts

8. Forms and Formulas
Slope 𝑚 =
𝑦2−𝑦1
𝑥2−𝑥1
Slope Intercept Form 𝑦 − 𝑚𝑥 + 𝑏
Point Slope Form 𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1)
Standard Form 𝐴𝑥 + 𝐵𝑦 = 𝐶
X-intercept let 𝑦 = 0
Y-intercept let 𝑥 = 0

9. Homework
Pages 236-237
#19-26, 37-39, 46, 47, 49