What are the intercepts of 2 x - 3 y - 4 z = - 24 ?

a. (–12, 0, 0), (0, –8, 0), (0, 0, –6)

b. (–12, 0, 0), (0, –8, 0), (0, 0, 6)

c. (–12, 0, 0), (0, 8, 0), (0, 0, 6)

d. (–12, 0, 0), (0, 8, 0), (0, 0, –6)

The intercepts are obtained by putting x,y or z in turn to 0

Intercept of x axis is when y=0, z= 0 => 2x=-24 or x=-12. the intercept is (-12,0,0)

Intercept of y axis is when x=0, z= 0 => -3y=-24 or y=8. the intercept is (0,8,0)

Intercept of z axis is when x=0, y= 0 => -4z=-24 or z=6. the intercept is (0,0,6)

so the answer its c right?

Yes

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