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Rate of Change and Slope

ALGEBRA 1 LESSON 6-1

6-1

Rate of Change and Slope

ALGEBRA 1 LESSON 6-1

6-1

Rate of Change and Slope

ALGEBRA 1 LESSON 6-1

1. Find the rate of change for the data

in the table.

2. Find the rate of change for the data in

the graph.

3. Find the slope of the line.

15 per ticket

4 3

400 calories per hour

4. Find the slope of the line through (3, 2) and

(2, 5).

6-1

Rate of Change and Slope

ALGEBRA 1 LESSON 6-1

undefined

0

6-1

Slope-Intercept Form

ALGEBRA 1 LESSON 6-2

5. Write an equation for the line.

m 2 b 0

6. Graph y x 3.

y 0.5x 1

6-2

Standard Form

ALGEBRA 1 LESSON 6-3

x 4, y 12

horizontal

vertical

5 2

5x 2y 6 or 5x 2y 6

6-3

Point-Slope Form and Writing Linear Equations

ALGEBRA 1 LESSON 6-4

6-4

Parallel and Perpendicular Lines

ALGEBRA 1 LESSON 6-5

3 2

1. Find the slope of a line parallel to 3x 2y

1. 2. Find the slope of a line perpendicular to

4x 5y 7. Tell whether the lines for each

pair of equations are parallel, perpendicular, or

neither. 3. y 3x 1, y x 2 4. y 2x

5, 2x y 4 5. y x 1, 2x 3y

6 6. Write an equation of the line that contains

(2, 1) and is perpendicular to y x 3.

5 4

perpendicular

neither

2 3

parallel

y 2x 3

6-5

Scatter Plots and Equations of Lines

ALGEBRA 1 LESSON 6-6

1. Graph the data in a scatter plot.

Draw a trend line. 2. Write an equation

for the trend line. 3. Predict the number of

households in the U.S. in 2005. (Use 105

for x.) 4. Use a calculator to find the line of

best fit for the data. 5. What is the

correlation coefficient?

y 86.8 1.3(x 85)

about 112.8 million households

y 1.366x 29.91

0.9943767027

6-6

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