Question

Graph the linear equation y = –2x + 6 on the coordinate plane.

Answer 1

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.

`\begin{gathered} y=0+6 \\ y=6 \end{gathered}`

Thus, the y-intercept is (0,6).

Put y=0 we get,

`\begin{gathered} 0=-2x+6 \\ 2x=6 \\ x=3 \end{gathered}`

Thus, the x-intercept is (3,0).

The graph: