Question

Graphing a line by first finding its x- and y-intercepts

Answer 1

Okay, here we have this:

We need to graph the following equation by first finding its x- and y-intercepts:

x-intercept:

`\begin{gathered} -(2)/(3)x+3=0 \\ -(2)/(3)x=-3 \\ -2x=-9 \\ x=(9)/(2)=4.5 \end{gathered}`

Here we obtain that the x-intercept is (4.5, 0).

y-intercept:

`\begin{gathered} y=-(2)/(3)\cdot\: 0+3 \\ y=-0+3 \\ y=3 \end{gathered}`

Here we obtain that the y-intercept is (0, 3).

Now, let's graph this: