Question

What is the x intercept of `y= - 6/5x + 6`?

Answer 1

The x-intercept is `5`.

Explanation:

`y=-6/5x+6`

The x-intercept is the value of `x` when `y` is zero.

Substitute `0` for `y` in the equation.

`0=-6/5x+6`

Subtract `6` from both sides of the equation.

`-6=-6/5x+6-6=`

`-6=-6/5x`

Divide by `-6/5` on both sides. When dividing by a fraction, multiply times its reciprocal.

`-cancel(6^1)(-5/cancel6^1)=-cancel6^1/cancel5^1x(-cancel5^1/cancel6^1)`

`5=x`

Switch sides.

`x=5`

graph{y=-6/5x+6 [-16.02, 16.01, -8.01, 8.01]}