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
xx
yy
x
y
run
risem
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?
mxx
yy
12
12
Using Point-Slope Form to Using Point-Slope Form to graphgraph
1 2 43
5
-1-2-3-4-5
1234
5-1-2-3-4-5
)( 11 xxmyy
)2(2
53 xy
Point is (2,3)
Slope is 2
5
Manipulate Point-Slope Manipulate Point-Slope Form to Slope-Intercept Form to Slope-Intercept
formform)2(
2
53 xy
Simplify5
2
53 xy
22
5 xy
Using Point-Slope Form to Using Point-Slope Form to graphgraph
1 2 43
5
-1-2-3-4-5
1234
5-1-2-3-4-5
)( 11 xxmyy
)4(23 xy
Point is (4,-3)
Slope is 1
2
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(3
11 xy
)3(2
52 xy
)1(4
13 xy
HomeworkHomework
Pg. 304 #2 to 8 evenPg. 304 #2 to 8 even
Write slope and pointWrite slope and point
Plot graphPlot graph
Write equation in slope Write equation in slope intercept formintercept form