What's the intercepts for the equation 4x-6y-5z=60?

Question

asked Jun 4, 2018 66.6k views

1 Answer

Jeremy Sorensen · Answer 1 · 2018-06-09T03:09:14+0000

To find the
x_i

intercept, set
x_j=x_k=0

. By this I refer to the following procedure.

x-intercept: Set
y=z=0

, then you're left with
$4x=60\iff x=15$ . Then the x-intercept is
(15,0,0)

.

y-intercept: Set
x=z=0

, then
$-6y=60\iff y=-10$ . The y-intercept is
(0,-10,0)

.

z-intercept: Set
x=y=0

, then
$-5z=60\iff z=-12$ . The z-intercept is
(0,0,-12)

.