Algebra I Chapter 5 Study Guide Writing Linear Equations

Name ________________

Due: Tuesday, January 17 (Exam week)

100 points

Writing Linear Equations in a Variety of Forms

Using given information about a __________, you can write an ________________of the line in _____________ different forms. Complete the chart:

Form (Name)

Equation

• •

Important information

The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line passes through ( ______, ______ ) A, B, and C are __________ numbers. A and B are not both ___________.

Slope – Intercept

Point – Slope

• •

Standard

• •

Try a few (Page 345 – 347) Write an equation in Slope – Intercept Form:

Algebra I

Study Guide Chapter 5

lopeWrite an equation in Slope-Intercept Form that passes through the given point and has the given slope m. 8. (23, 21); m = 4 y= m= x= b= 9) (– 2, 1), m = 1 y= m= x= b= 10) (8, –4) m = – 3 y= m= x= b=

Write an equation in Point-Slope Form that passes through the given points. oint11) (4, 7) (5, 1) 12) (9, 22) (23, 2) 13) (8, 28) (23, 22)

(Hint: you need slope)

(Hint: you need slope)

(Hint: you need slope)

-2-

Algebra I

Study Guide Chapter 5

Write an equation in Standard Form of the line that has the given characteristics.

Hint for #15 & #16 You’ll need to write one form of the equation and transform it … think of our charts … and, see the example above the problem in the book … page 347 15) Slope: 24; passes through (22, 7)

16) Passes through (21, 25) and (3, 7)

Keep going!

-3-

Algebra I

Study Guide Chapter 5

Problems Using Linear Models (Equations) to Solve Problems

You can write a linear equation that ______________ a situation involving a _____________rate of change (_____________). Analyzing given information helps you choose a _______________ model.

If this is what you know …

Constant rate of change (____) and Initial value (_____)...

Name ________________

Due: Tuesday, January 17 (Exam week)

100 points

Writing Linear Equations in a Variety of Forms

Using given information about a __________, you can write an ________________of the line in _____________ different forms. Complete the chart:

Form (Name)

Equation

• •

Important information

The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line passes through ( ______, ______ ) A, B, and C are __________ numbers. A and B are not both ___________.

Slope – Intercept

Point – Slope

• •

Standard

• •

Try a few (Page 345 – 347) Write an equation in Slope – Intercept Form:

Algebra I

Study Guide Chapter 5

lopeWrite an equation in Slope-Intercept Form that passes through the given point and has the given slope m. 8. (23, 21); m = 4 y= m= x= b= 9) (– 2, 1), m = 1 y= m= x= b= 10) (8, –4) m = – 3 y= m= x= b=

Write an equation in Point-Slope Form that passes through the given points. oint11) (4, 7) (5, 1) 12) (9, 22) (23, 2) 13) (8, 28) (23, 22)

(Hint: you need slope)

(Hint: you need slope)

(Hint: you need slope)

-2-

Algebra I

Study Guide Chapter 5

Write an equation in Standard Form of the line that has the given characteristics.

Hint for #15 & #16 You’ll need to write one form of the equation and transform it … think of our charts … and, see the example above the problem in the book … page 347 15) Slope: 24; passes through (22, 7)

16) Passes through (21, 25) and (3, 7)

Keep going!

-3-

Algebra I

Study Guide Chapter 5

Problems Using Linear Models (Equations) to Solve Problems

You can write a linear equation that ______________ a situation involving a _____________rate of change (_____________). Analyzing given information helps you choose a _______________ model.

If this is what you know …

Constant rate of change (____) and Initial value (_____)...

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