Question

What are the intercepts of 3x+y=-9. Use the graph on the picture please.

Answer 1

Given the equation below

`3x+y=-9`

To find the intercepts of the graph of the equation above. The following steps will be used.

Step 1: To obtain the x-intercept, set y=0 and solve for x

`\begin{gathered} 3x+y=-9 \\ y=0 \\ 3x+0=-9 \\ 3x=-9 \\ (3x)/(3)=-(9)/(3) \\ x=-3 \\ x-\text{intercept}\Rightarrow(-3,0) \end{gathered}`

Hence, the x-intercept is (-3,0)

Step 2: To find the y-intercept, set x= 0 and solve the equation to find y.

`\begin{gathered} 3x+y=-9 \\ x=0 \\ 3(0)+y=-9 \\ y=-9 \\ y-\text{intercept}\Rightarrow(0,-9) \end{gathered}`

Hence, the y-intercept is (0,-9)

The graph of the equation showing the intercepts is shown below