Loading...

PPT – 3.6 Parallel Lines in graphing PowerPoint presentation | free to download - id: 66f6ea-OWIzY

The Adobe Flash plugin is needed to view this content

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 over Run.
- The change of
- y over the
- change in x

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

Postulate

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

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

Write the equation of the line

- Given Slope m 8 and y intercept b - 2

Write the equation of the line

- Given Slope m 8 and y intercept b - 2
- y 8x ( - 2)
- y 8x - 2

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)

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

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

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)

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

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

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

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

Write the equation

- Given line k
- Write the equation for line g through ( - 5, 0)

and parallel to line k.

(No Transcript)

Homework

- Page 168 171
- 12 22 even, 23,
- 24 32 even,
- 33 45 odd, 47, 48