Download Lesson 4-2 Writing Equations in Slope

Lesson 4­2 Writing Equations in Slope­Intercept Form with answers.notebook
November 06, 2014
Questions/Main Ideas Lesson 4­2 Writing Equations in Slope­Intercept Form
Given the Slope and One Point
1. substitute the values of m, x, and y into the slope­
intercept form and solve for b.
2.
Write the slope­intercept form using the values of m and b.
Questions/Main Ideas Practice Problems
1.
(5, ­2), m = 3
2.
(5, 4), m = ­5
3.
(­3, ­1), m = ­ 2
3
4.
(3, 0), m = ­2
1
Lesson 4­2 Writing Equations in Slope­Intercept Form with answers.notebook
November 06, 2014
Questions/Main Ideas
Given Two Points
1. Find the slope.
2.
Choose one of the two points to use for x and y.
3.
Follow the steps for writing an equation given the slope and one point.
Questions/Main Ideas Practice Problems
1.
(4, 2), (­2, ­4)
2.
(­1, 3), (2, ­3)
2
Lesson 4­2 Writing Equations in Slope­Intercept Form with answers.notebook
November 06, 2014
Questions/Main Ideas Practice Problems
3.
(7, ­2), (­4, ­2)
4.
(1, 1), (7, 4)
Questions/Main Ideas constraint ­ a condition that a solution must satisfy
Example
During one year, Malik's cost for self­serve regular gasoline was $3.20 on the first of June and $3.42 on the first of July. Write a linear equation to predict Malik's cost of gasoline the first of any month during the year, using 1 to represent January.
3
Lesson 4­2 Writing Equations in Slope­Intercept Form with answers.notebook
November 06, 2014
Questions/Main Ideas linear extrapolation ­ the process of using linear equations to make predictions about values beyond the range of data
Example
On average, Malik uses 25 gallons of gasoline per month. He budgeted $100 for gasoline in October. Use the prediction equation in the previous example to determine if Malik will have to add to his budget. Explain.
4
Lesson 4­2 Writing Equations in Slope­Intercept Form with answers.notebook
November 06, 2014
5
Lesson 4­2 Writing Equations in Slope­Intercept Form with answers.notebook
November 06, 2014
6