M
, 04.04.2022 06:01

# What are the intercepts of x-5y=-z=-10

Answered by an experienced expert Nitin Arora

For the x intercept y=0 and z=0

For the y intercept x=0 and z=0

For the z intercept x=0 and y=0
note: the points are written in (x,y,z) form

so

x intercept
y=z=0
x-5y-z=-10
x=-10
x intercept is at x=-10 or the point (-10,0,0)

y intercept
x=z=0
x-5y-z=-10
-5y=-10
y=2
y intercept is at y=2 or the point (0,2,0)

z intercept
x=y=0
x-5y-z=-10
-z=-10
z=10
z intercept is at z=10 or the point (0,0,10)

x intercept is at x=-10 or the point (-10,0,0)
y intercept is at y=2 or the point (0,2,0)
z intercept is at z=10 or the point (0,0,10)

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