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

$\begin{gathered} 4x+8(0)=16 \\ 4x=16 \\ \\ x=\frac{16}{4} \\ x=4 \end{gathered}$

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

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

Therefore, the y-intercept is 2