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 (𝒙𝟏 , 𝒚𝟏 )
is
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
𝒚𝟐 − 𝒚𝟏
=𝒎
𝒙 𝟐 − 𝒙𝟏
𝒚 − 𝒚𝟏
=𝒎
𝒙 − 𝒙𝟏
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)
𝟐
and has slope . What is an
𝟑
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
𝟐
equation 𝒚 − 𝟏 = 𝒙 − 𝟐 ?
A)
𝟑
What is the graph of the
𝟒
equation 𝒚 + 𝟕 = − 𝒙 − 𝟒 ?
B)
𝟓
What is the graph of the
equation y + 3 = -2(x – 2)?
Textbook Page 318; #8 – 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 𝒚 − 𝟐 =
𝟐
− (𝒙
𝟑
+ 𝟓)
Objectives:
To write and graph linear equations using
point-slope form
What other method could you
use to graph y + 3 = -2(x – 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 – 319; #16 – 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 balloon’s
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
Julio’s wages at any time?
What do the slope and yintercept represent?
5 – 4 Practice Worksheet