Question

How do you find the intercepts for `y=2x+6`?

Answer 1

The `y` intercept is 6, and the `x` intercept is -3.

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 = 2x + 6`
`0 = 2x + 6`
`2x = -6`
`x = -3`

So, the x-intercept is -3.

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

`y = 2x + 6`
`y = 2(0) + 6`
`y = 6`

So, the y-intercept is 6.