Download Standard form notes.notebook

Standard form notes.notebook
November 30, 2015
Table of Contents
Unit 4: Linear Functions
1. Slope / Rate of Change
2. Direct Variation
3. Slope Intercept Form
4. Point Slope Form
5. Standard Form
Standard Form
standard form
Standard Form: ax + by = c
a, b and c are numbers
"a" must be positive
No Fractions or Decimals
No common factors (reduce)
11/19
11/19
Standard form notes.notebook
November 30, 2015
Write the linear equation in standard form.
y = 5 - 2x
3x + 9y = 15
2x+ 1 y = 3
4
2x - 5y = 6
To Cancel Fractions
Multiply the whole equation by
the denominator (or least common denominator)
2x + 1 y = 4
3
2 x + 1 y = 4
3
2
Standard form notes.notebook
November 30, 2015
Intercepts are where the line crosses the axis.
X­intercept is where the line crosses the x­axis
Y­intercept is where the line crosses the y­axis
X­intercept = y value is 0 ( , 0)
Substitute 0 for y and solve for x.
Y­intercept = x value is 0 (0, )
Substitute 0 for x and solve for y.
Standard form notes.notebook
November 30, 2015
ex) Find the x­intercept and y­intercept for 5x + 2y = 10
ex) Find the x­intercept and y­intercept for 4x + 6y = 8.
ex) Find the x­intercept and y­intercept for x + 9y = 27.
ex) Find the x­intercept and y­intercept for 5x + 2y = 10
Standard form notes.notebook
November 30, 2015
Standard form notes.notebook
November 30, 2015
Standard form notes.notebook
November 30, 2015
Standard form notes.notebook
November 30, 2015
REVIEW:
Find the slope of the line given the following points. 1. (3,2) (4,5) 2. (4,8) (10, 2)
End
Standard form notes.notebook
November 30, 2015
Standard form notes.notebook
Additional Answers from p. 161
Additional Answers from p. 237
Additional Answers from p. 238
November 30, 2015