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Wednesday 28th of June
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# Slopes of Parallel Lines

Distinct parallel lines never intersect.

Lines that are parallel (and not vertical) have the same slope.

Example

Find the slope of a line parallel to the line that passes through the points (3, 4) and (-2, -6).

Solution

 First, find the slope of the line through the given points. Let (x1, y1) = (3, 4) and (x2, y2) = (-2, -6). m Substitute the values in the slope formula. Simplify. = 2
The slope of the line through (3, 4) and (-2, -6) is 2.

A line parallel to the line through (3, 4) and (-2, -6) has the same slope, 2.