Sketch the given plane. y + 2z = 6

Question

Quizplus · Accepted Answer

The given equation y + 2z = 6 can be rearranged in slope-intercept form as y = -2z + 6. This form shows that the y-intercept is 6 and the slope in the z-direction is -2. To graph this on a 3-dimensional coordinate system, we can start by plotting the y-intercept on the y-axis (which is at the point (0,6,0)) and then use the slope to find additional points on the plane. For example, if we set z = 1, we get y = -2 + 6 = 4, which means the point (0,4,1) is also on the plane. We can repeat this process to find more points and sketch the plane.

The graph should look like this:

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Sketch the Given Plane