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Rise over run ratio is equal
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- Parallel lines have the same slope because their rise over run ratio is equal. They make an equal angle with the positive x-axis.
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Parallel lines have the same slope because their rise over run ratio is equal. They make an equal angle with the positive x-axis. In geometry, parallel lines can be defined as two lines in the same plane that never meet and are at equal distance.
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The slopes of parallel lines are equal and the formula for the slope of parallel lines is m 1 = m 2. The parallel lines are equally inclined with respect to the positive x-axis and hence the slope of parallel lines are equal.
Parallel lines are coplanar lines (in the same plane) that never intersect (never cross each other). The slope of a line measures its steepness (or its angle from the horizontal). Lines that are parallel have the same steepness (or the same angle from the horizontal).
No, parallel lines do not have the same equation, but they have the same slope. For example, if the equation of a line is represented as, y = 4x + 2, this means the slope of this line is 4. So, another straight line in the same plane, that has the same slope of 4 will be parallel to the given line.
Parallel lines and their slopes are easy. Since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel. Perpendicular lines are a bit more complicated.
When parallel lines are used on a coordinate plane, an equation of a line can be written for each of them (y=mx+b y = mx + b). The linear equations of the parallel lines will include a y-intercept and the slope of a line. Since the lines will never cross, the slopes of parallel lines are the same.
