# A line passes through #(3 ,6 )# and #(4 ,8 )#. A second line passes through #(7 ,9 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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If the second line is parallel to the first line, it will have the same slope as the first line. To find the slope of the first line, we use the formula:

[ m = \frac{y_2 - y_1}{x_2 - x_1} ]

Using the points (3, 6) and (4, 8) for the first line, the slope is:

[ m = \frac{8 - 6}{4 - 3} = \frac{2}{1} = 2 ]

Since the second line is parallel to the first line, it must also have a slope of 2.

Now, using the point-slope form of the equation of a line ( y - y_1 = m(x - x_1) ), we can find another point that the second line may pass through.

Using the point (7, 9) and the slope ( m = 2 ), we have:

[ y - 9 = 2(x - 7) ]

[ y - 9 = 2x - 14 ]

[ y = 2x - 14 + 9 ]

[ y = 2x - 5 ]

So, another point that the second line may pass through if it is parallel to the first line is (0, -5).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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