Question

What are the x- and y-intercepts of the equation 4y + 9x = 18?*

Answer 1

The x-intercept is at;

`\begin{gathered} x=2 \\ (2,0) \end{gathered}`

The y-intercept is at;

`\begin{gathered} y=4.5 \\ (0,4.5) \end{gathered}`

Step-by-step explanation:

Given the equation:

`4y+9x=18`

We want to find the x and y intercept of the equation;

Recall that the x intercept is at y=0;

`\begin{gathered} 4y+9x=18 \\ at\text{ y=0} \\ 4(0)+9x=18 \\ 9x=18 \\ x=(18)/(9) \\ x=2 \\ (2,0) \end{gathered}`

Also, the y intercept is at x=0;

`\begin{gathered} 4y+9x=18 \\ at\text{ x=0} \\ 4y+9(0)=18 \\ 4y=18 \\ y=(18)/(4) \\ y=4.5 \\ (0,4.5) \end{gathered}`

Therefore, The x-intercept is at;

`\begin{gathered} x=2 \\ (2,0) \end{gathered}`

The y-intercept is at;

`\begin{gathered} y=4.5 \\ (0,4.5) \end{gathered}`