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

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Heres Why it Works

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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?

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Problem 1 Writing an Equation in
Point-Slope Form

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Problem 1Got It?

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

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Problem 2 Graphing Using Point-Slope
Form

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Problem 2 Graphing Using Point-Slope
Form

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Problem 2Got It?

• What is the graph of the equation y 3 -2(x
  2)?

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HOMEWORK

• Textbook Page 318 8 15 All

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Ticket Out

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Section 5 - 4Continued

• Objectives
• To write and graph linear equations using
  point-slope form

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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?
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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?

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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?
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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?
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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.

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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.

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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.

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HOMEWORK

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

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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?

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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?
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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?
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HOMEWORK

• 5 4 Practice Worksheet