Given the equation:
[tex]-4x+4y=8[/tex]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)
[tex]\begin{gathered} -4x+4(0)=8 \\ -4x=8 \\ x=\frac{8}{-4}=-2 \end{gathered}[/tex]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):
[tex]\begin{gathered} -4(0)+4y=8 \\ 4y=8 \\ y=\frac{8}{4}=2 \end{gathered}[/tex]So, the y-intercept = 2
