Section 2-4: Writing Linear Equations - PowerPoint PPT Presentation

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Section 2-4: Writing Linear Equations

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Section 2-4: Writing Linear Equations We have already seen standard form of an equation, but this form isn t very useful. We are going to use slope-int. and point ... – PowerPoint PPT presentation

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Title: Section 2-4: Writing Linear Equations


1
Section 2-4 Writing Linear Equations
  • We have already seen standard form of an
    equation, but this form isnt very useful.
  • We are going to use slope-int. and point-slope
    form to write equations.

2
Slope-Intercept Form
  • y ______ ____ mx b
  • Remember, MOST of the time we will still have
    ______ in the final equation.
  • m is the _______
  • b is the __________

3
Write the equation of the line.
  • First (and easiest) b ?
  • b
  • m ?
  • m
  • y

4
Write the equation of the line.
  • b ?
  • b
  • m ?
  • m
  • y

5
Write the equation of the line.
  • b ?
  • b
  • m ?
  • m
  • y

6
Give the slope and y-int. of each equation.
  • y -4x 3
  • m
  • b
  • y 5 - 1/2x
  • m
  • b
  • 8x y 3/4
  • m
  • b
  • 4x - 2y 10
  • m
  • b

7
Give the slope and y-intercept of each line.
  • y -1/3x
  • m
  • b
  • y 5
  • m
  • b

8
Given the slope and y-int., write the equation
of the line.
  • m 0, b 10
  • m 1, b 0
  • m 0, b 0
  • m -3, b 1
  • m -2/5, b -4

9
Given the graph, write the equation of the line.
  • To write the equation of a line, we need two
    pieces of information ___________
    ________________
  • You should be able to get these from _________.

10
Point-Slope Form
  • Use this form if you are given _________, or a
    __________. (as long as the pt. isnt b)
  • ____________________
  • (x1, y1) is one of the given points.
  • Use the points to calculate m.

11
Give the equation of the line.
  • the line goes through (3, 2) (5, 4).
  • m
  • choose either point, well use (3, 2). Plug in 3
    for ___ 2 for ____.
  • ____________

12
Write the equation.
  • y - 2 1(x - 3)
  • Simplify.
  • ______________
  • add two to both sides
  • __________

13
Give the equation of the line through the points
(4, 3) and (7, -2)
  • m
  • plug either point.
  • y - 3
  • y
  • y

14
Give the equation of the line with x-int. 3 and
y-int 2.
  • Because we know the y-int. (b), we only need the
    slope.
  • m
  • y
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