What are the intercepts of the equation 4x-6y-5z=60

To find the intercept of a variable in a equation with more than one variable, you need to equal the others variables to zero.

-> 4x - 6y - 5z = 60

-> X-Intercept:

To find the X intercept, equal the Y and Z values to 0.

(Y = 0; Z = 0)

4x - 6 (0) - 5 (0) = 60

4x = 60

x = 60/4

x = 15

-> Y-Intercept:

To the Y intercept it's the same thing, equal the another variable values to 0.

(X = 0; Z = 0)

4 (0) - 6y - 5 (0) = 60

-6y = 60

-y = 60/6

-y = 10 x (-1)

y = - 10

-> Z-Intercept:

(X = 0; Y = 0)

4 (0) - 6 (0) - 5z = 60

-5z = 60

-z = 60/5

-z = 12 x (-1)

z = - 12

Answer: The intercepts for this equation (15,-10,-12).

Or: x = 15, y = - 10, z = - 12.