Download Write these equations in slope intercept form. 2.аа5x + 2y = 8 3.аа6x

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Transcript 
09222016.notebook
September 22, 2016
Bellringer September 22, 2016
1. Write the slope­intercept form.
Write these equations in slope­
intercept form.
2. 5x + 2y = 8
3. 6x + 9y = 27
J. Millet
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09222016.notebook
September 22, 2016
Bellringer Answers
1. Write the slope­intercept form.
Write these equations in slope­
intercept form.
2. 5x + 2y = 8
3. 6x + 9y = 27
J. Millet
2
09222016.notebook
September 22, 2016
4­2 Writing Equations in Slope­
Intercept Form
Goal:
Write the equation of the line in slope­
intercept form given two points. J. Millet
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09222016.notebook
September 22, 2016
What is standard form?
ax + by = c
What is slope­intercept form?
y = mx + b
J. Millet
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09222016.notebook
September 22, 2016
Example
Write the equation of a line that passes through (2, 1) and has a slope of 3.
Use the formula
Insert values
Solve for b
­5 = b
Re­write form using m and b.
Reduce if possible
J. Millet
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09222016.notebook
September 22, 2016
Example
Write the equation of a line that passes through (­2, 5) and has a slope of 3.
Use the formula
Insert values
Solve for b
Re­write form using m and b.
Reduce if possible
J. Millet
6
09222016.notebook
September 22, 2016
Example
Write the equation of a line that passes through (4, ­7) and has a slope of ­1.
Use the formula
Insert values
Solve for b
Re­write form using m and b.
Reduce if possible
J. Millet
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09222016.notebook
September 22, 2016
Example
Write the equation of a line in slope­intercept form given two points (3, 1) and (2, 4).
First we must find the slope. Use slope formula
Slope is ­3
Choose a point and substitute into slope­intercept form.
Solve for b.
Write the equation using m and b.
J. Millet
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09222016.notebook
September 22, 2016
Write the equation of a line in slope­intercept form given two points (­1, 12) and (4, ­8).
Use slope formula
Choose a point and substitute into slope­
intercept form.
Then solve for b.
Write the equation using m and b.
J. Millet
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09222016.notebook
September 22, 2016
Test Tomorrow
2­8 Literal Equations & Dimensional Analysis
3­1 Graphing Linear Equations 3­3 Rate of Change and Slope
4­1 Slope­Intercept Form
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09222016.notebook
September 22, 2016
2­8
Solve for a variable.
Example: Conversions: 12 inches = 1 foot
3 feet = 1 yard
5280 feet = 1 mile
J. Millet
Solve for x
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09222016.notebook
September 22, 2016
3­1
What is standard form.
Ax + By = C Determine if an equation is a line. Example: Put equation in standard form. If the equation fits, then the equation is a line.
What are the x­ and y­intercepts? What and where are they?
Graph using x­ and y­intercepts.
Use 4 steps from 9/15/2016
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09222016.notebook
September 22, 2016
3­3
What is slope?
Find the slope from two points. Example: (2, 5) and (4, 4). Use m.
Find the missing value. Example: (1, r) and (2, 6) with a slope of ­2. Use m and solve for r.
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09222016.notebook
September 22, 2016
4­1
What is slope­intercept form?
Write an equation using the slope and the intercept.
Example: slope is ­1 and intercept is 7
Graph the line using slope and the intercept.
Example: ­2x + y = 4 (change to slope­
intercept form, then graph).
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09222016.notebook
September 22, 2016
Homework
Worksheet
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