Is the line for the equation x = 4 horizontal or vertical? What is the slope of the line? Select the best answer.
2 answers:
we know that
The slope of the lines parallel to the y-axis or vertical lines is undefined and the slope of the lines parallel to the x-axis or horizontal lines is equal to zero
In this problem we have
This is the equation of a vertical line parallel to the y-axis
the slope is undefined
therefore
<u>the answer is the option</u>
The line is vertical. The slope is undefined
Answer: The correct option is (B) The line is vertical. The slope is undefined.
Step-by-step explanation: We given to check whether the line x = 4 is horizontal or vertical.
Also, we are to find the slope of the line and select the best option.
The given line is
Since the straight line of the form x = k, a constant is parallel to Y-axis. Since Y-axis is the vertical axis, so, the line must be vertical.
Therefore, the line x = 4 is also vertical.
Now, (4, 0) and (4, 1) are any two points on the given line.
So, the slope of the line will be
which is undefined.
Therefore, the slope of the given line is undefined.
Thus, the given line is vertical and its slope is undefined.
Option (B) is correct.
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Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
Testing this property:
The relationship holds true, thus events E and F are independent.