Question

chapter 1 equations, inequalities, and mathematical modeling
section 1.1 graphs of equations
objective: in this lesson you learned how to sketch the graph of an equation.
important vocabulary define each term or concept.
equation in two variables
solution of equation in two variables
graph of an equation
intercepts
symmetry
circle
i. the graph of an equation
to sketch the graph of an equation in two variables using the point - plotting method, ...
a disadvantage of the point - plotting method is ...
example: complete the table. then use the resulting solution points to sketch the graph of the equation y = 3 - 0.5x.

x	- 4	- 2	0	2	4
y

Explanation:

Step1: Substitute x - value into equation

For \(x=-4\), substitute into \(y = 3-0.5x\), we get \(y=3-0.5\times(-4)=3 + 2=5\).

Step2: Substitute x - value into equation

For \(x = - 2\), substitute into \(y = 3-0.5x\), we get \(y=3-0.5\times(-2)=3 + 1=4\).

Step3: Substitute x - value into equation

For \(x = 0\), substitute into \(y = 3-0.5x\), we get \(y=3-0.5\times0=3\).

Step4: Substitute x - value into equation

For \(x = 2\), substitute into \(y = 3-0.5x\), we get \(y=3-0.5\times2=3 - 1=2\).

Step5: Substitute x - value into equation

For \(x = 4\), substitute into \(y = 3-0.5x\), we get \(y=3-0.5\times4=3 - 2=1\).

Answer:

\(x\)	\(-4\)	\(-2\)	\(0\)	\(2\)	\(4\)