Transcript power point/LEQ: How do you find the slope of a line & use it to

LEQ: How do you find the slope of a line & use it to
write an equation of the line?
Bellringer
In 1990, Penn State University had an enrollment of 75,365
students. By 2009, the enrollment had increased to 87,163.
What was the average annual change in enrollment from
1990 to 2009?
Use the average annual change in enrollment to estimate
enrollments in 1995, 2000, and 2005.
Write the equation of the line that represents the given
data. What is the slope? Interpret the slope in the context
of the problem.
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
AP #1: How do we calculate the slope of a line from data points, a
graph, & an equation?
practice
Find the slope of the line passing through each pair of
points.
a) (-5,-6) and (2,8)
b) (4,5) and (8,4)
c) (0,-3) and (4,-3)
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
AP #1: How do we calculate the slope of a line from data points, a graph,
& an equation?
practice
[rap
a.
b.
c.
d.
Draw a line that has a positive slope
Draw a line that has a negative slope
Draw a line that with zero slope.
Draw a line with undefined slope.
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
AP #1: How do we calculate the slope of a line from data points, a graph,
& an equation?
practice
Identify the slope of each line:
1)
2
y  5 x
3
2)
6 x  11y  17
3)
x  77
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
AP #2: How do we write linear equations given points on lines & their
slopes?
practice
directions:
Write the equation of each line in
slope intercept form.
1) Passes through
2) Passes through
4) Passes through the
the point (3,-7) &
has a slope of 2
3) passes
the points (4,-2) &
(2,9)
through the
point (5,-3) &
is vertical
points
(6,8) & (-7,8)
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
AP #3: How do we sketch lines using slope, y-intercept, & data
points?
practice
4 x  y  5  0
Directions: Given each linear equation below,
a) identify the slope & y-intercept
b) Describe the graph of the line
4
y  x2
3
y  12
2 x  9
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
AP #3: How is slope used to identify parallel & perpendicular lines?
practice
A)
1
y  x 1
2
y  2x 1
Directions: Graph each set of lines. Describe the relationship
that occurs between the lines.
B)
y  2x 1
y  2x
y  2x 1
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
AP #3: How is slope used to identify parallel & perpendicular lines?
practice
A)
1
y  x 1
2
y  2x 1
Directions: Graph each set of lines. Describe the relationship
that occurs between the lines.
B)
y  2x 1
y  2x
y  2x 1
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
Extended thinking: Applying our learning!
The net sales for a car manufacturer were
$14.61 billion in 2009 and $15.78 billion in
2010.
a)Write a linear equation giving the net sales
y in terms of x, where x is the number of
years since 2000.
b)Use your equation to predict the net sales
in 2011.
LEQ: How do you find the slope of a line & use it to
write an equation of the line?
Extended thinking: Applying our learning!
ADD to Friday’s homework:
* pp. 13-15, #85-93 odd & #96
* Read 1.2 Functions & complete outline