Question

How do you find the intercepts for `y= - 6/5x + 6`?

Answer 1

The `y` intercept is 6, and the `x` intercept is 5.

Explanation:

The intercepts of a graph are the points where the graph crosses the 'x' and 'y' axes. To find the intercepts of a graph, you need to find the values of x and y assuming that y = 0 and x = 0, respectively.

The x-intercept is the point where 'y' is 0. So, take the equation and plug in 0 for 'y'.

`y = -6/5x + 6`

`0 = -6/5x + 6`

`-6 = -6/5x`

`1 = 1/5x`

`5=x`

So, the x-intercept is 5.

The y-intercept is the point where 'x' is 0. So, take the equation and plug in 0 for 'x'.

`y = -6/5x + 6`

`y = -6/5(0) + 6`

`y = 6`

So, the y-intercept is 6.