Question

Graph the equation after rewriting it on in slope intercept form. X+3y=9

Answer 1

y=(-1/3)x+3

Step-by-step explanation:

Given the equation:

`x+3y=9`

To write it in the slope-intercept form, make y the subject:

`\begin{gathered} 3y=-x+9 \\ \implies y=-(1)/(3)x+(9)/(3) \\ \implies y=-(1)/(3)x+3 \end{gathered}`

The slope-intercept form is y=-1/3x+3.

Next, we graph the line using the intercepts.

`\begin{gathered} \text{When }x=0,y=3\implies(0,3) \\ \text{When y=0, }x=9\implies(9,0) \end{gathered}`

Join the points (0,3) and (9,0) using a straight line by following these steps:

• Identify the point (0,3) i.e. 3 on the y-axis

,

• Identify the point (9,0) i.e. 9 on the x-axis

,

• Join the two points with a straight line

Since a graph cannot be uploaded currently, follow the steps above.