Question

Question #d4f64

Answer 1

See below.

Explanation:

The x-intercept is defined to be the point at which the line intersects the x-axis. You can calculate it by substituting `y=0` into the equation:

`y=1/4x+1`

`0=1/4x+1`

`-1=1/4x`

`(-1)(4)=(1/4)x(4)`

On the right-hand side of the equation the `4`'s cancel since one is in the numerator and the other is in the denominator.

`x=-4`

So the x-intercept is `(-4,0)`

The y-intercept is defined to be the point at which the line intersects the y-axis. You can calculate it by substituting `x=0` into the equation:

`y=1/4x+1`

`y=1`

The y-intercept is `(0,1)`

Here's what the graph looks like:

graph{1/4x+1 [-10, 10, -5, 5]}