Question

What are the intercepts of -3x + 5y - 2z =60

Answer 1

We know that

the x-intercept is when y=0  and z=0
-3x + 5y - 2z =60------------> -3x=60----------> x=-20
the point (-20,0,0)

the y-intercept is when x=0  and z=0
-3x + 5y - 2z =60------------> 5y=60----------> y=12
the point (0,12,0)

the z-intercept is when y=0  and x=0
-3x + 5y - 2z =60------------> -2z=60----------> z=-30
the point (0,0,-30)

the answer is
(-20,0,0)
(0,12,0)
(0,0,-30)