Rate of Change and Slope

1
Rate of Change and Slope
ALGEBRA 1 LESSON 6-1
6-1
2
Rate of Change and Slope
ALGEBRA 1 LESSON 6-1
6-1
3
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
4
Rate of Change and Slope
ALGEBRA 1 LESSON 6-1
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0
6-1
5
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
6
Standard Form
ALGEBRA 1 LESSON 6-3
x 4, y 12
horizontal
vertical
5 2
5x 2y 6 or 5x 2y 6
6-3
7
Point-Slope Form and Writing Linear Equations
ALGEBRA 1 LESSON 6-4
6-4
8
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
9
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