Question

What are the intercepts of `3x-8y=4`?

Answer 1

`3/4` is the x-intercept, and `-2` is the y-intercept

Explanation:

To obtain the intercepts, divide the entire equation by the constant (`-4` here). We get `3/4x-8/4y=1`. The coefficient of `x` is the x-intercept and the coefficient of `y` is the y-intercept.

Answer 2

`"x-intercept "=4/3" and y-intercept "=-1/2`

Explanation:

`"to find the intercepts, that is where the graph crosses"`
`"the x and y axes"`

`• " let x = 0, in the equation for y-intercept"`

`• " let y = 0, in the equation for x-intercept"`

`x=0rArr0-8y=4rArry=-1/2larrcolor(red)"y-intercept"`

`y=0rArr3x-0=4rArrx=4/3larrcolor(red)"x-intercept"`
graph{(y-3/8x+1/2)((x-0)^2+(y+1/2)^2-0.04)((x-4/3)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}