Chapter 5 Linear Functions
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Transcript Chapter 5 Linear Functions
Objectives:
To write and graph linear equations using
point-slope form
The Point-Slope Form of an
equation of a nonvertical line with
slope m and through point (ππ , ππ )
is
π¦ β π¦1 = π(π₯ β π₯1 )
ππ β ππ
=π
π π β ππ
π β ππ
=π
π β ππ
A) A line passes through (-3, 6)
and has slope -5. What is an
equation of the line?
B) A line passes through (8, -4)
π
and has slope . What is an
π
equation in point-slope
form of the line?
A line passes through (1, -4)
and has slope 3. What is an
equation of the line in pointslope form?
What is the graph of the
π
equation π β π = π β π ?
A)
π
What is the graph of the
π
equation π + π = β π β π ?
B)
π
What is the graph of the
equation y + 3 = -2(x β 2)?
Textbook Page 318; #8 β 15 All
1)
What is point-slope form?
2)
Write an equation in point-slope
form of a line that passes through
(4, -1) and has a slope of 4.
3)
Graph the equation π β π =
π
β (π
π
+ π)
Objectives:
To write and graph linear equations using
point-slope form
What other method could you
use to graph y + 3 = -2(x β 2),
besides plotting (2, -3) and then
using the slope -2/1 to plot a
second point?
A)
What is an equation in point-slope
form of the line below?
A)
B)
What is this equation written in
slope-intercept form?
B) What is an equation in point-slope
form of the line below?
What is this equation written
in slope-intercept form?
What is an equation in pointslope form of the line shown
below?
What is this equation written
in slope-intercept form?
A) What is an equation in pointslope form of the line containing the
points (1, 4) and (-1, 1). Then write
the equation in slope-intercept form.
B) What is an equation in pointslope form of the line containing the
points (7, 3) and (5, 1). Then write the
equation in slope-intercept form.
Write an equation in point-slope
form of the line containing the
points (2, 5) and (-8, 4). Then write
the equation in slope-intercept
form.
Textbook Page 318 β 319; #16 β 21
*** PAY ATTENTION TO THE
DIRECTIONS!!!***
A) The table shows the
altitude of a hot-air balloon
during its linear descent. What
equation in slope-intercept
form gives the balloonβs
altitude at any time? What do
the slope and y-intercept
represent?
B) The table shows the
number of gallons of water y
in a tank after x hours. The
relationship is linear. What
is an equation in point-slope
form that models the data?
What does the slope and yintercept represent?
The table shows the
amount of time Julio
works and his total
wages. What equation in
slope-intercept form gives
Julioβs wages at any time?
What do the slope and yintercept represent?
5 β 4 Practice Worksheet