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3.2: Graphs of Equations
Objective- To sketch graphs of equations using point plotting, by x & y intercepts, and to use
patterns to write an equation for real world applications.
Example 1: Sketching the Graph of Linear & Nonlinear Equations
a.) 4x + 2y = 2
b.) -x2 + x + y = 0
x
x
x
y
y
y
x
y
Checkpoint:
x
c.) y = |𝑥 − 1|
x
y
y
Example 2: Finding the
Intercepts of a Graph
Find the intercepts and sketch
the graph of the equation.
Notes:
Standard
Form:
_______________________ it
gives ____________________
X-Intercept________________________________________________________________________
**To find X-Intercept→
________________________________________________________
Y-Intercept__________________________________________________________________________
**To find the YIntercept→_____________________________________________________
a.) 8x + 6y = 24
Checkpoint:
b.) y = -4x + 8
Example 3: Straight-Line Depreciation
Your company purchases a new limousine for $65,000. For tax purposes, the limousine
will be depreciated over a 10-year period. At the end of 10 years, the value of the
limousine is expected to be $10,000.
a.) Find an equation that related the depreciated value of the lousine to the number
of years since it was purchased.
b.) Using intercepts, sketch the graph of the equation.
Checkpoint: