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3.6 Parallel Lines in graphing

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3.6 Parallel Lines in graphing Slope Slope intercept form of the line Slope of the Line Rise over Run. The change of y over the change in x Slope of the Line Rise ... – PowerPoint PPT presentation

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Title: 3.6 Parallel Lines in graphing


1
3.6 Parallel Lines in graphing
  • Slope
  • Slope intercept form of the line

2
Slope of the Line
  • Rise over Run.
  • The change of
  • y over the
  • change in x

3
Slope of the Line
  • Rise over Run.
  • The change of
  • y over the
  • change in x

4
  • Using the points (3,2 ) and (4, 7)
  • Slope is 5

5
Postulate
  • Slopes of parallel line are congruent.
  • These lines are parallel.
  • The two equations are in what form?

6
Slope-intercept form of a line
  • y mx b
  • b is for the y intercept m is for slope, why m?
  • I believe (but am not sure) that what we now call
    just the "slope" was once called the "modulus of
    slope", the word "modulus" being used in its
    sense of "number used to measure" (as in "Young's
    modulus"). John Conway
  • the first use of the gt word (that I know of) back
    to 1850. Before that phrases such as "the gt
    tangent of the angle between the line and the
    x-axis" were used. I take gt this as evidence that
    the concept of slope had not crystalized and so
    name gt was attached to it. Both the word "slope"
    and the use of the letter "m" gt seem to have
    originated in the USA. Fred Rickey

7
Write the equation of the line
  • Given Slope m 8 and y intercept b - 2

8
Write the equation of the line
  • Given Slope m 8 and y intercept b - 2
  • y 8x ( - 2)
  • y 8x - 2

9
Which line through the given points are parallel?
  • Set of points (0, - 3) and (1, - 2)
  • (5, 4) and ( - 4, - 4)
  • ( - 6, - 1) and ( 3, 7)

10
Which line through the given points are parallel?
  • Set of points (0, - 3) and (1, - 2)
  • (5, 4) and ( - 4, - 4)
  • ( - 6, - 1) and ( 3, 7)
  • - 3 ( - 2) - 1 1 line through (0, - 3)
    and (1, - 2)
  • 0 ( 1) - 1 and line through ( - 6, -
    1) and ( 3, 7)
  • 4 ( - 4) 8
  • 5 ( - 4) 9
  • - 1 7 - 8
  • - 6 3 - 9

11
Which line through the given points are parallel?
  • Set of points (0, - 3) and (1, - 2)
  • (5, 4) and ( - 4, - 4)
  • ( - 6, - 1) and ( 3, 7)
  • - 3 ( - 2) - 1 line through (5, 4) and
    (- 4, - 4)
  • 0 ( 1) - 1 and line through ( - 6, -
    1) and ( 3, 7)
  • 4 ( - 4) 8
  • 5 ( - 4) 9
  • - 1 7 - 8 8
  • - 6 3 - 9 9

12
Point slope form of the line
  • y y1 m(x x1)
  • where ( x1 , y1 ) and m are given or need to be
    found.
  • Write the equation with m - 2 and through the
    point (4, 9)

13
Point slope form of the line
  • y y1 m(x x1)
  • where ( x1 , y1 ) and m are given or need to be
    found.
  • Write the equation with m - 2 and through the
    point (4, 9)
  • y 9 -2( x 4) Solve for x
  • y 9 - 2x 8
  • y -2x 17

14
Point slope form of the line
  • y y1 m(x x1)
  • where ( x1 , y1 ) and m are given or need to be
    found.
  • Write the equation with m - 2 and through the
    point (4, 9)
  • y 9 -2( x 4) Solve for x
  • y 9 - 2x 8
  • y -2x 17

15
Point slope form of the line
  • y y1 m(x x1)
  • where ( x1 , y1 ) and m are given or need to be
    found.
  • Write the equation with m - 2 and through the
    point (4, 9)
  • y 9 -2( x 4) Solve for x
  • y 9 - 2x 8
  • y -2x 17

16
Point slope form of the line
  • y y1 m(x x1)
  • where ( x1 , y1 ) and m are given or need to be
    found.
  • Write the equation with m - 2 and through the
    point (4, 9)
  • y 9 -2( x 4) Solve for x
  • y 9 - 2x 8
  • y -2x 17

17
Write the equation
  • Given line k
  • Write the equation for line g through ( - 5, 0)
    and parallel to line k.

18
(No Transcript)
19
Homework
  • Page 168 171
  • 12 22 even, 23,
  • 24 32 even,
  • 33 45 odd, 47, 48
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