point-slope form
DESCRIPTION
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 PresentationTRANSCRIPT
![Page 1: Point-Slope Form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/1.jpg)
Point-Slope Point-Slope FormForm
![Page 2: Point-Slope Form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/2.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/3.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/4.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/5.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/6.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/7.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/8.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/9.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/10.jpg)
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](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/11.jpg)
Your turnYour turn)1(
311 xy
)3(252 xy
)1(413 xy
![Page 12: Point-Slope Form](https://reader035.vdocuments.us/reader035/viewer/2022062305/56815da4550346895dcbd068/html5/thumbnails/12.jpg)
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