## Elementary Geometry for College Students (6th Edition)

The x-intercept is $(4,0,0)$ The y-intercept is $(0,-8,0)$ The z-intercept is $(0,0,2)$ We can see a sketch of the plane.
$2x-y+4z = 8$ We can find the x-intercept when $y=0$ and $z = 0$: $2x-y+4z = 8$ $2x-(0)+4(0) = 8$ $x = 4$ The x-intercept is $(4,0,0)$ We can find the y-intercept when $x=0$ and $z = 0$: $2x-y+4z = 8$ $2(0)-y+4(0) = 8$ $y = -8$ The y-intercept is $(0,-8,0)$ We can find the z-intercept when $x=0$ and $y = 0$: $2x-y+4z = 8$ $2(0)-(0)+4z = 8$ $z = 2$ The z-intercept is $(0,0,2)$ We can plot these three points on the graph. Then we can connect these three points to sketch the plane for the equation.