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
Point-Slope Point-Slope FormForm
What we Know so far….What we Know so far….
Slope Intercept Form
bmxy
Where m is the slope and b is the intercept
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)
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?
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
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
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
Manipulate Point-Slope Manipulate Point-Slope Form to Slope-Intercept Form to Slope-Intercept
formform)2(
253 xy
Simplify5
253 xy
225
xy
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
Manipulate Point-Slope Manipulate Point-Slope Form to Slope-Intercept Form to Slope-Intercept
formform
823 xy
52 xy
)4(23 xy
Your turnYour turn)1(
311 xy
)3(252 xy
)1(413 xy
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