QUESTION IMAGE
Question
the plane $15x - 12y + 20z = 60$ is represented by which graph below? notice the z - axis.
Step1: Find the \(x -\)intercept
Set \(y = 0\) and \(z = 0\) in the equation \(15x-12y + 20z=60\).
We get \(15x=60\), so \(x = 4\).
Step2: Find the \(y -\)intercept
Set \(x = 0\) and \(z = 0\) in the equation \(15x-12y + 20z=60\).
We get \(-12y=60\), so \(y=- 5\).
Step3: Find the \(z -\)intercept
Set \(x = 0\) and \(y = 0\) in the equation \(15x-12y + 20z=60\).
We get \(20z=60\), so \(z = 3\).
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