Question

Graph the equation by first finding the​ x- and​y-intercepts.

one half x plus one third y equals 1

Answer 1

x-intercept: (2,0)

y-intercept: (0,3)

Explanation:

We are asked to graph our given equation
`(1)/(2)x+(1)/(3)y=1`.

To find x-intercept, we will substitute
`y=0` in our given equation.

`(1)/(2)x+(1)/(3)(0)=1`

`(1)/(2)x+0=1`

`2*(1)/(2)x=2*1`

`x=2`

Therefore, the x-intercept is
`(2,0)`.

To find y-intercept, we will substitute
`x=0` in our given equation.

`(1)/(2)(0)+(1)/(3)y=1`

`0+(1)/(3)y=1`

`3*(1)/(3)y=3*1`

`y=3`

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

Upon connecting these two points, we will get our required graph as shown below.