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How do we know when two lines are parallel? Their slopes are the same! The slope is the value m in the equation of a line: y = mx + b. Example: Find the equation of the line that is: parallel to y = 2x + 1. and passes though the point (5,4) The slope of y = 2x + 1 is 2. The parallel line needs to have the same slope of 2.
Answer: Lines with the same slope are parallel and if the slope of one line is the negative reciprocal of the second line, then they are perpendicular. Let's see how to identify parallel and perpendicular lines.
Jan 16, 2024 · To figure out if 2 lines are parallel, compare their slopes. You can find the slope of a line by picking 2 points with XY coordinates, then put those coordinates into the formula Y2 minus Y1 divided by X2 minus X1. Calculate the slope of both lines. If they are the same, then the lines are parallel.
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Demonstrates how to determine if slopes are for parallel lines, perpendicular lines, or neither. Explains why graphing is not generally helpful for this type of question.
Apr 24, 2017 · How To Tell If Lines Are Parallel, Perpendicular Or Neither. Every straight line has a specific linear equation, which can be reduced to the standard form of y = mx + b. In that equation, the value of m is equal to the line's slope when plotted on a graph.
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y -intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
Parallel. Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. (They also point in the same direction). Just remember: Always the same distance apart and never touching. The red line and blue line are parallel in both these examples: Example 1. Example 2.