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How do you find the slope of a line parallel to a line that passes through (3, 6) and (1, −2)?

Answer 1

All parallel lines have the same slope as each other.

Given the two points, the slope is #(Delta y)/(Delta x) = (3-1)/(6-(-2)) = 1/4# and all lines parallel to this one also have a slope of #1/4#

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Answer 2

Kennedy Adams

To find the slope of a line parallel to a given line passing through two points, you first find the slope of the given line using the formula:

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

Then, any line parallel to the given line will have the same slope. So, you can use the same slope to find the slope of the parallel line passing through any other point.

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Answer from HIX Tutor

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.