# How do you tell whether the lines through the given points are parallel, perpendicular, or neither: (1,0), (7,4)?

There is not enough information; you need to know the slopes of the two lines.

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To determine whether the lines through the given points are parallel, perpendicular, or neither, we can calculate the slope of each line using the formula: ( m = \frac{{y2 - y1}}{{x2 - x1}} ). If the slopes of the lines are equal, they are parallel. If the slopes are negative reciprocals of each other, the lines are perpendicular. For the points (1,0) and (7,4), the slope is ( m = \frac{{4 - 0}}{{7 - 1}} = \frac{4}{6} = \frac{2}{3} ). Therefore, the slope of the line passing through these points is ( \frac{2}{3} ). Since we only have one line, we cannot determine if it's parallel or perpendicular to another line without knowing the equation of the other line. Hence, we cannot definitively classify the relationship between the lines as parallel, perpendicular, or neither based solely on the given points.

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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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