Question

Find the x and y intercepts of the following equation. Fill in blank one and blank two

Answer 1

Explanation.

We have the equation:

`4x+8y=16`

The question wants us to find the x and y intercept of the equation

Let us start with the x-intercept

The x-intercept is obtained when we set the value of y =0

So that

`\begin{gathered} 4x+8(0)=16 \\ 4x=16 \\ \\ x=(16)/(4) \\ x=4 \end{gathered}`

Therefore, the x-intercept is 4

Next, let us find the y-intercept.

To find the y-intercept, let us set x=0

So that

`\begin{gathered} 4(0)+8y=16 \\ 8y=16 \\ y=(16)/(8) \\ y=2 \end{gathered}`

Therefore, the y-intercept is 2