Consider the following observations. Classify each observation based on whether it is a real observation (a true statement of something we can actually see from Earth) or one that is not real (a statement of something that does not really occur as seen from Earth).

Question Continuation

1. Mercury goes through a full cycle of phases

2. Moon rises in east, sets in west each day

3. Stars circle daily around north or south celestial pole

The true statements are are (2) and (3)

2. Moon rises in east, sets in west each day.

From all part of the earth, we can see and observe the moon only that the stars move in parallel to the horizon in the north pole.

3. Stars circle daily around north or south celestial pole.

The relative position of starts are always altered because of the earth's rotation

While (1) does not really occur as seen from Earth

1. Mercury goes through a full cycle of phases

We can see the mercury from the Earth but in its whole form not in its phases.

The equation of the line perpendicular to the line y=-x+2 through the point (3,5) is y = x + 2

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Two lines are said to be perpendicular if the product of their slope is -1. That is the slope of one line is the negative inverse of the other line.

Given the line y = -x + 2. The slope of the line is -1.

The slope of a line perpendicular is 1 (negative inverse of -1).

Hence:

The equation of the line perpendicular to the line y=-x+2 through the point (3,5) is y = x + 2

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