Section 5 - 4 Point-Slope Form - PowerPoint PPT Presentation

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Section 5 - 4 Point-Slope Form

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Section 5 - 4Point-Slope Form. Objectives: To write and graph linear equations using point-slope form – PowerPoint PPT presentation

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Title: Section 5 - 4 Point-Slope Form


1
Section 5 - 4Point-Slope Form
  • Objectives
  • To write and graph linear equations using
    point-slope form

2
 
3
Heres Why it Works
  •  

4
Problem 1 Writing an Equation in
Point-Slope Form
  • A) A line passes through (-3, 6) and has slope
    -5. What is an equation of the line?

5
Problem 1 Writing an Equation in
Point-Slope Form
  •  

6
Problem 1Got It?
  • A line passes through (1, -4) and has slope 3.
    What is an equation of the line in point-slope
    form?

7
Problem 2 Graphing Using Point-Slope
Form
  •  

8
Problem 2 Graphing Using Point-Slope
Form
  •  

9
Problem 2Got It?
  • What is the graph of the equation y 3 -2(x
    2)?

10
HOMEWORK
  • Textbook Page 318 8 15 All

11
Ticket Out
  •  

12
Section 5 - 4Continued
  • Objectives
  • To write and graph linear equations using
    point-slope form

13
WARM UP
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?
14
Problem 3 Using Two Points to Write an
Equation
  • What is an equation in point-slope form of the
    line below?
  • What is this equation written in
  • slope-intercept form?

15
Problem 3 Using Two Points to Write an
Equation
  • B) What is an equation in point-slope form of the
    line below?

What is this equation written in slope-intercept
form?
16
Problem 3Got It?
  • What is an equation in point-slope form of the
    line shown below?

What is this equation written in slope-intercept
form?
17
Problem 4 Using Two Points to Write an
Equation
  • A) What is an equation in point-slope form of the
    line containing the points (1, 4) and (-1, 1).
    Then write the equation in slope-intercept form.

18
Problem 4 Using Two Points to Write an
Equation
  • B) What is an equation in point-slope form of the
    line containing the points (7, 3) and (5, 1).
    Then write the equation in slope-intercept form.

19
Problem 4Got It?
  • 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.

20
HOMEWORK
  • Textbook Page 318 319 16 21
  • PAY ATTENTION TO THE DIRECTIONS!!!

21
Problem 5 Using a Table to Write an
Equation
  • A) The table shows the altitude of a hot-air
    balloon during its linear descent. What equation
    in slope-intercept form gives the balloons
    altitude at any time? What do the slope and
    y-intercept represent?

22
Problem 5 Using a Table to Write an
Equation
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
y-intercept represent?
23
Problem 5Got It?
The table shows the amount of time Julio works
and his total wages. What equation in
slope-intercept form gives Julios wages at any
time? What do the slope and y-intercept
represent?
24
HOMEWORK
  • 5 4 Practice Worksheet
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