Question

The equation of a line is given below.Find the x-intercept and the y-intercept.Then use them to graph the line.

Answer 1

`\begin{gathered} x-intercept:\text{ \lparen-6,0\rparen} \\ y-intercept:\text{ \lparen0,3\rparen} \end{gathered}`

Explanation:

A linear equation is represented by the following equation:

`\begin{gathered} y=mx+b \\ where, \\ m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}`

Therefore, if we re-organize the equation using the slope-intercept form, we can identify ''b'':

`y=(x)/(2)+3`

Therefore, the y-intercept of the function is (0,3).

Now, for the x-intercept, substitute y=0.

`\begin{gathered} 0=(x)/(2)+3 \\ (x)/(2)=-3 \\ x=-6 \\ \text{ Then,} \\ x-intercept=\text{ \lparen-6,0\rparen} \end{gathered}`