2.5 Applications of Linear Equations and Modeling

2 S .




Applications of Linear Equations
Point Slope Form
Modeling
and


y
-




( -


)2 optrmwhenever youknow in line




Y -value
of point stope x-value of
point
Slope 7
example
:
:




Find the equation of a
point (2 , 4) :



(2 , 4) -
line passing through
equation of line . -u 7 (x 2)
y
= -




with slope7 in point slope form


example Slope 5
:
:




Find the equation of a
point (2 , 4) :



(2 , 4) -
line passing through
equation of line . -u G (x 2)
y
= -




with slope in point slope form

Comparing 2 forms of Line Equations
Point-slope form Slope intercept form

y
-




(x ( y
=
X +



Yone Slope X-value of
point slope y-intercept
NEED : ·

Slope of the line
NEEDD : ·
slope of the line


the line
any point on
y-intercept
3-9.
example
form
. use any that Slope : =
2
best for
works -


1
-

2
-


3
YOU % could've also got
-you
Find equation the of the line , 9)
point (2 :
C-1 , 3) with other method



passing through (2, 9) and (1 3) Equation of line
2)
y -a
, : =
z(X -




(X Yi)
,, (x2 Yz)
,
in point slope form