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Point-Slope Form

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Point-Slope Form - PowerPoint PPT Presentation

Point-Slope Form. What we Know so far…. Slope Intercept Form. Where m is the slope and b is the intercept. What we Know so far…. Slope. Where two points are given as (x 1 ,y 1 ) and (x 2 ,y 2 ). The New Stuff… Write equations. Slope-intercept form is:.

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Presentation Transcript

What we Know so far….

Slope Intercept Form

Where m is the slope and b is the intercept

What we Know so far….

Slope

Where two points are given as (x1,y1) and (x2,y2)

The New Stuff… Write equations

Slope-intercept form is:

Where m is the slope and b is the y-intercept

Example: Find the equation of the line with slope -2 and y-intercept 8

y = -2x + 8

Easy if I know the y-intercept… but if I don’t?

The New Stuff… Point- Slope Form

Point- Slope form is:

Where m is the slope and (x1,y1) is the given point that the line goes through

The New Stuff… Point- Slope Form

Point- Slope form is:

Where does this equation come from?

Using Point-Slope Form to graph

5

4

3

2

1

-5

-4

-3

-2

-1

1

2

3

4

5

-1

-2

-3

-4

-5

Slope is

Point is (2,3)

Using Point-Slope Form to graph

5

4

3

2

1

-5

-4

-3

-2

-1

1

2

3

4

5

-1

-2

-3

-4

-5

Slope is

Point is (4,-3)

Homework

Pg. 304 #2 to 8 even

Write slope and point

Plot graph

Write equation in slope intercept form