Find the intercepts of the plane 5𝑥+𝑦+10𝑧=50. 5 x + y + 10 z = 50. Write your answers as points (𝑎,𝑏,𝑐) ( a , b , c ) where 𝑎 a , 𝑏 b , and 𝑐 c are numbers.

Question

1. The x-axis intercept answer: ?
2. the y-axis intercept answer: ?
3. the z-axis intercept answer:?

Answer 1

5𝑥+𝑦+10𝑧=50

1. x-intercept: y = 0, z = 0

5x = 50; x = 10, (10, 0, 0) is x-int

2.y-intercept: x = 0; z = 0; y = 50

(0, 50, 0) is y-int

3.z-intercept: x = 0, y = 0, 10z = 50; z = 5

(0, 0, 5) is z-int