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Point-Slope Point-Slope Form Form

Point-Slope Form

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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:. - PowerPoint PPT Presentation

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Page 1: Point-Slope Form

Point-Slope Point-Slope FormForm

Page 2: Point-Slope Form

What we Know so far….What we Know so far….

Slope Intercept Form

bmxy

Where m is the slope and b is the intercept

Page 3: Point-Slope Form

What we Know so far….What we Know so far….Slope

12

12

xxyy

xy

runrisem

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

Page 4: Point-Slope Form

The New Stuff… Write The New Stuff… Write equations equations

Slope-intercept form is:

bmxy

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 + 8Easy if I know the y-intercept… but if I don’t?

Page 5: Point-Slope Form

The New Stuff… Point- Slope The New Stuff… Point- Slope FormFormPoint- Slope form is:

)( 11 xxmyy Where m is the slope

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

Page 6: Point-Slope Form

The New Stuff… Point- Slope The New Stuff… Point- Slope FormFormPoint- Slope form is:

)( 11 xxmyy Where does this equation come from?

mxxyy

12

12

Page 7: Point-Slope Form

Using Point-Slope Form to Using Point-Slope Form to graphgraph

1 2 43

5

-1-2-3-4-51234

5-1-2-3-4-5

)( 11 xxmyy

)2(253 xy

Point is (2,3)

Slope is 25

Page 8: Point-Slope Form

Manipulate Point-Slope Manipulate Point-Slope Form to Slope-Intercept Form to Slope-Intercept

formform)2(

253 xy

Simplify5

253 xy

225

xy

Page 9: Point-Slope Form

Using Point-Slope Form to Using Point-Slope Form to graphgraph

1 2 43

5

-1-2-3-4-51234

5-1-2-3-4-5

)( 11 xxmyy

)4(23 xy

Point is (4,-3)

Slope is 12

Page 10: Point-Slope Form

Manipulate Point-Slope Manipulate Point-Slope Form to Slope-Intercept Form to Slope-Intercept

formform

823 xy

52 xy

)4(23 xy

Page 11: Point-Slope Form

Your turnYour turn)1(

311 xy

)3(252 xy

)1(413 xy

Page 12: Point-Slope Form

HomeworkHomework

Pg. 304 #2 to 8 evenPg. 304 #2 to 8 evenWrite slope and pointWrite slope and point

Plot graphPlot graphWrite equation in slope Write equation in slope

intercept formintercept form