Point'Slope!Form!of!a!Linear!Equation!looks!like:!msjacobsmath.weebly.com/uploads/2/6/2/5/26258835/alg...Algebra(I(Notes:(Graphing(Linear(Functions(Point(Slope(Form(!...
Transcript of Point'Slope!Form!of!a!Linear!Equation!looks!like:!msjacobsmath.weebly.com/uploads/2/6/2/5/26258835/alg...Algebra(I(Notes:(Graphing(Linear(Functions(Point(Slope(Form(!...
Algebra(I(Notes:(Graphing(Linear(Functions(Point(Slope(Form(
!Point'Slope!Form!of!a!Linear!Equation!looks!like:!!!
! − !! = !(! − !!)!!!!where!(!!,!!)!is!a!point,!and!!!is!the!slope!!!!!!
slopetsubtracting
gthe Kandy,
values
Iyvalne rlx value
of the point of thepoint
Example!1:!Find!the!point!and!the!slope!from!the!equation!! − 2 = 3(! − 4).!!
Try!it:!Find!the!point!and!the!slope!from!the!equation!!! − 3 = !
! ! − 2 .!
Try!it:!Find!the!point!and!the!slope!from!the!equation!! + 1 = − !
! ! − 2 .!
Try!it:!Find!the!point!and!the!slope!from!the!equation!!! + 5 = !
! ! + 6 .!
!
inMpoint't(4,2¥ Fnmthetttktua point (
2,3)
we - x ,nd - y ,
slope 3 Slopem=£
.
y. y ,
point ( 2,
- 1) point C-6 ,-5 )
slope m= - yt slope m=F
Example!2:!Graph!the!line!! − 2 = !! (! − 2)!
!!!!!!!!!!!!!!!
����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ1����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿFind the point and slope����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ2����������� ������������������ !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~��������������������������������� ¡¢£¤¥¦§¨©ª«¬®¯°±²³´µ¶·¸¹º»¼½¾¿ÀÁÂÃÄÅÆÇÈÉÊËÌÍÎÏÐÑÒÓÔÕÖ×ØÙÚÛÜÝÞßàáâãäåæçèéêëìíîïðñòóôõö÷øùúûüýþÿ Plot the point and use the slope
• point ( 2,2)
•
• slope m = to
Try!it:!Graph!the!line!! + 4 = −2!(! − 3)!!!!!!!!!!!!!!!!!
point ( 3,
- 4)
Slope m= -2
•
DB
•
Example!3:!Transform!the!equation!into!slope'intercept!form!
! − 2 = 12 (! − 2)!
Try!it:!Transform!the!equation!into!slope'intercept!form!
! + 3 = − 23 (! − 6)!
!
↳ y=mx+b
⇒
y-2=15×-1+ 2 +2
y= tax +1