Question

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

Answer 1

`y`-intercept = `3/4`
`x` intercept = `-3/8`

Explanation:

Here,
for the intercepts,
Intercepts actually mean where the line or curve passes through the axes.

For x intercept in `x`-axis ,you let the value of `y` as 0

or, 4.0 -8`x` =3
or, 0 -8`x` =3
or, `x`= `-3/8`

So, `x` intercept = `-3/8`

Similarly for the `y`-intercept, you let the value of `x` as 0,

or, 4`y` -8.0 =3
or, 4`y` = 3
or, `y` = `3/4`

So, `y`-intercept = `3/4`

Answer 2

`x = -3/8`
`y = 3/4`

Explanation:

An intercept is a point on a particular axis that the equation will hit when graphed.

What does it imply when we are concerned with a point on the axis?
It means the value of the other coordinate is 0.

To get the intercept, we only need to replace the other variable with 0.

To get the y-intercept, set `x = 0`

`4y - 8x = 3`
`=> 4y - 8(0) = 3`
`=> 4y = 3`
`=> y = 3/4`

Meanwhile, to get the x-intercept, set `y = 0`

`4y - 8x = 3`
`=> 4(0) - 8x = 3`
`=> -8x = 3`
`=> x = -3/8`