Question

find the intercepts of -2y+x=2y-8

Answer 1

\[-2y+x=2y-8\]\[-2y+x\color{red} {-2y-x}=2y-8\color{red} {-2y-x}\]\[-4y=-8-x\]\[-4y\color{red} {/(-4)}=-x\color{red} {/(-4)}-8\color{red} {/(-4)}\]\[y=\frac{1}{4}x+2\]

Answer 2

Y-INTERCEPT.

\[y=\frac{1}{4}\color{red} {(0)}+2~~~~~~->~~~~~~y=2\]

X-INTERCEPT.
\[\color{red} {(0)}=\frac{1}{4}x+2\]\[-\frac{1}{4}x=2\]\[-\frac{1}{4}x\color{red} {\times (-4)}=2\color{red} {\times (-4)}\]\[x=-8\]