2 7
Equations
.
Linear
in 2 Linear Functions variables
Two Variable
Linear Equations Every equation in this
Examples : form corresponds to a line
any equation in the form
.. 3x +
y
=
9
!!!
2x +
3y = 6 on the
xy-plane
x
y
+ = X= U ...
example X int set yo
2x 8(0) 16
.
set
2(0)
x 0=
Yint.
8y 16
+ = + =
Consider the linear expression 16
= 2x =
=
8y
=
16
2x + 8y 16 =
2
X= G y
=
= =
Find its X &
Y intercepts (8 0) (0 2)
, ,
St De engin
can also be called
... rise
change in y
run
change in X run
rish
M
of line
,
a run
the Slope
definition
:
lines change
of a line is the fixed straight
rate at all
at the
same points
rate at which the line
Rises or Falls
...
=
"rising" lines "falling" lines
correspond correspond to functions change
more
general
negative slopes
at Variable Rates
to positive slopes
Equations
.
Linear
in 2 Linear Functions variables
Two Variable
Linear Equations Every equation in this
Examples : form corresponds to a line
any equation in the form
.. 3x +
y
=
9
!!!
2x +
3y = 6 on the
xy-plane
x
y
+ = X= U ...
example X int set yo
2x 8(0) 16
.
set
2(0)
x 0=
Yint.
8y 16
+ = + =
Consider the linear expression 16
= 2x =
=
8y
=
16
2x + 8y 16 =
2
X= G y
=
= =
Find its X &
Y intercepts (8 0) (0 2)
, ,
St De engin
can also be called
... rise
change in y
run
change in X run
rish
M
of line
,
a run
the Slope
definition
:
lines change
of a line is the fixed straight
rate at all
at the
same points
rate at which the line
Rises or Falls
...
=
"rising" lines "falling" lines
correspond correspond to functions change
more
general
negative slopes
at Variable Rates
to positive slopes
