Given:
y = -2x + 6.
To draw the graph for the given linear equation:
Let us find the x and y intercepts.
Put x=0 we get.
[tex]\begin{gathered} y=0+6 \\ y=6 \end{gathered}[/tex]
Thus, the y-intercept is (0,6).
Put y=0 we get,
[tex]\begin{gathered} 0=-2x+6 \\ 2x=6 \\ x=3 \end{gathered}[/tex]
Thus, the x-intercept is (3,0).
The graph:
