Step 1
Check the slope of
y = -x + 3
and
y = -x + 6
[tex]\begin{gathered} \text{The equation for a line is given as} \\ y=\text{ mx + c} \\ \text{where} \\ m=\text{ slope} \\ c=\text{ y-intercept} \\ \end{gathered}[/tex]
[tex]\begin{gathered} \text{For y= -x +3} \\ m_1\text{ = -1} \\ \text{For y = -x + 6} \\ m_2=\text{ -1} \\ _{}_{}_{}_{}_{} \end{gathered}[/tex][tex]\begin{gathered} \text{For parallel lines} \\ m_1=m_2 \end{gathered}[/tex]
Step 2
Plot the graph
Therefore, the statement that describes the graphs of both equations is that they are parallel.
