Question

The equation of a graph is 4x - 3y = 5. What is the x-intercept? A) 2/3 B) 3/4 C) 5/4 D) 5 /8

Answer 1

The answer is C) `5/4`.

Explanation:

To find the x-intercept, we must set the y-intercept to 0, then solve for x.

`4x-3(0)=5, 4x-0=5, 4x=5, (4x)/4=5/4, x=5/4`

Answer 2

C) 5/4

Explanation:

Hello!

Normally you would want to solve for `y`, but since you need to find the x-intercept, it would be wise to solve for `x`.

So we start with:
`4x-3y = 5`

Now, we can simply put `0` in for the `y` term because the x-intercept means 'when is the y value `0`'?

This means the equation is now:

`4x = 5`

Now to get `x` by itself, divide by `4`

x = `5/4`

And that's your answer!

Hope this helps!