$\"\"$

\

The equations of linear system are $\"\"$ .

\

For ease of graphing, rewrite the equation 1: $\"\"$ in slope - intercept form.

\

Add 9x to each side.

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Divide each side by 6.

\

$\"\"$

\

Cancel common terms.

\

$\"\"$ .

\

The slope of $\"\"$ is $\"\"$ and its y - intercept is 3. $\"\"$

\

For ease of graphing, rewrite the equation 2: $\"\"$ in slope - intercept form.

\

Subtract 6x from each side.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Divide each side by negative 4.

\

$\"\"$

\

Cancel common terms.

\

$\"\"$ .

\

The slope of $\"\"$ is $\"\"$ and its y - intercept is 3. $\"\"$

\

The equations $\"\"$ of graph in the same coordinate plane is

\

$\"graph$

\

Observe the graph, the equations represent the same line, so any point on the line is a solution.The two lines have same slopes and the same y - intercept, so the linear system has infinitely many solutions. $\"\"$

\

The linear system has infinitely many solutions.