Question

Graph of this line using intercepts. I need some help some assistance would be nice

Answer 1

Step-by-step explanation:

The equation of the line is given below as

`2x+3y=18`

Step 1:

To determine the x-intercepts, we will put y=0 and solve for x

`\begin{gathered} 2x+3y=18 \\ 2x+3(0)=18 \\ 2x+0=18 \\ 2x=18 \\ (2x)/(2)=(18)/(2) \\ x=9 \\ x-intercept=(9,0) \end{gathered}`

Step 2:

To determine the y-intercept, we will put x=0 and solve for y

`\begin{gathered} 2x+3y=18 \\ 2(0)+3y=18 \\ 0+3y=18 \\ (3y)/(3)=(18)/(3) \\ y=6 \\ y-intercept=(0,6) \end{gathered}`

Hence,

The graph using the intercepts will be given below as