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Point Slope Form

- Chapter 2.3

- The other format for straight-line equations is

called the "point-slope" form. For this one, they

give you a point (x1, y1) and a slope m, and have

you plug it into this formula - y - y 1 m (x - x 1 )
- The slope of the line is m
- A known point on the line is (x1, y1).

Example

- Find the equation of the straight line that has

slope m 4 and passes through the point (1,

6). - We know m 4, x1 1, and y1 6. I'll plug

these values into the point-slope form and we

get - y y1 m (x x1)y (6) (4)(x (1))y

6 4(x 1) This is the answer

- Now if we were to distribute and solve for y we

would have it back in slope intercept form.

Watch! - y 6 4(x 1) Answer from previous slide
- y 6 4x 4y 4x 4 6
- y 4x 2 This form should look

familiar

Example 2

- Find the equation of the line that passes through

the points (2, 4) and (1, 2). - Then I can use either point as my (x1, y1), along

with this slope Ive just calculated, and plug in

to the point-slope form. Using (2, 4) as the

(x1, y1), I get - y y1 m (x x1)y (4) ( 2/3)(x (2))y

4 ( 2/3)(x 2)

Function Notation

- Function Notation y f(x) tells you that y is a

function of x. If there is a rule relating y t ox

such as y 3x -2 then you can write the equation

as - f(x) 3x -2
- This is read as f of x

Domain and Range

- The domain of a function is the set of all values

for which x is defined. - The range of a function is the set of all values

for which y is defined.

Example

- What is the domain and range of
- f(x) 2x 7?
- Domain and Range are all real numbers
- What if it was applied the following. An online

video company charges 7 dollars a month plus 2

dollars per movie. What is the new range and

domain? - Domain is x gt 0 Range is x gt 7

Homework

- P. 61
- Foundation 1 - 4
- Core 6, 11-19, 21-24
- Challenge 10, 20

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For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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