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

X intercept is when y and z=0

yinter cept is when x and z = 0

zintercept is when x and y = 0

set to zero and solve

xint

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

-4x=60

divide - 4

x=-15

xint is (-15,0,0)

ying

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

6y=60

divide by 6

y=10

yint is (0,10,0)

zint

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

-5z=60

divide by - 5

z=-12

zint is (0,0,-12)

xint is (-15,0,0)

yint is (0,10,0)

zint is (0,0,-12)