Question

What are the intercepts of `-3x+2y=6`?

Answer 1

the x-intercept is at:`(-2,0)`, the y-intercept is at: #(0,3)

Explanation:

To find the x-intercept set y to zero then solve for x:

`-3x+2y=6`
`-3x+2*0=6`
`-3x+0=6`
`-3x=6`
`x=6/-3`
`x=-2`
`:.`the x-intercept is at:`(-2,0)`

To find the y-intercept st x to zero then solve for y:

`-3x+2y=6`
`-3*0+2y=6`
`0+2y=6`
`2y=6`
`y=6/2`
`y=3`
`:.` the y-intercept is at: #(0,3)