Question

Find the x-intercept and the y-intercept of the graph of the equation. Do not graph the equation. -4x + 4y = 8x - intercept = y - intercept =

Answer 1

Given the equation:

`-4x+4y=8`

We will find the intercepts of the given equation.

The x-intercept is the value of (x) when y = 0

So, substitute with y = 0 and solve the equation to find (x)

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

So, the x-intercept = -2

The y-intercept is the value of (y) when x = 0

So, substitute with x = 0 and solve the equation to find (y):

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

So, the y-intercept = 2