Question

# Sketch a graph of the plane and label any intercepts. 2x - y + 3z = 4

Solution

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Answered 1 month ago
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$x$-intercept: $(2,0,0)$

$y$-intercept: $(0,-4,0)$

$z$-intercept: $\qty(0,0,\dfrac{4}{3})$

To find the x intercept for $ax+by+cz=k$, let y and z equal 0 and solve for x. Find the y and z intercepts similarly. If the graph is difficult to see: The intercepts are labeled at the top going in order of x, y, then z. The x, y, and z- axes on the frame are red, green, and blue respectively.

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