Find the intercepts of the plane given by
A) The x-intercept is The y-intercept is The z-intercept is
B) The x-intercept is The y-intercept is The z-intercept is
C) The x-intercept is The y-intercept is The z-intercept is
D) The x-intercept is The y-intercept is The z-intercept is
E) The x-intercept is The y-intercept is The z-intercept is

Question

Find the intercepts of the plane given by  ​
A) ​The x-intercept is The y-intercept is The z-intercept is ​ 
B) ​​The x-intercept is The y-intercept is The z-intercept is ​​​ 
C) ​​​The x-intercept is The y-intercept is The z-intercept is ​​​ 
D) ​​The x-intercept is The y-intercept is ​ The z-intercept is ​​ 
E) ​​The x-intercept is The y-intercept is The z-intercept is ​​

Quizplus · Accepted Answer

To find the intercepts, we set two of the variables to zero and solve for the third. 
Setting x=0 and y=0, we get:
-2z = -44
z = 22, so the z-intercept is (0, 0, 22).
Setting x=0 and z=0, we get:
-5y = -55
y = 11, so the y-intercept is (0, 11, 0).
Setting y=0 and z=0, we get:
3x = 33
x = 11, so the x-intercept is (11, 0, 0).
Therefore, the correct answer is choice A.

Find the Intercepts of the Plane Given by ​

Find the Intercepts of the Plane Given by