Question

What are the intercepts of the line `8x + 6y = 12`?

Answer 1

x-intercept is `3/2`

y-intercept is `2`

Explanation:

The x-intercept is the value of `x` when `y=0`
`color(white)("XXX")8x+6(0) = 12`
`color(white)("XXX")rarr 8x = 12`
`color(white)("XXX")rarr x = 12/8 =3/2`

The y-intercept is the value of `y` when `x=0`
`color(white)("XXX")8(0)+6y = 12`
`color(white)("XXX")rarr6y = 12`
`color(white)("XXX")rarry = 12/6 = 2`