Class notes

2.4 Linear Equations

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Course
Math 1148 (MATH1148)

Institution
The Ohio State University

This document is a math lesson on linear equations in two variables and linear functions. It covers: The basic form of linear equations (e.g., 3x + y = 9) and how these represent lines on the xy-plane. How to find x- and y-intercepts. The definition and calculation of the slope of a line, ...

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Uploaded on May 1, 2025
Number of pages 3
Written in 2024/2025
Type Class notes
Professor(s) Aguirre
Contains All classes

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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

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