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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. We can solve it by using the "point-slope" equation of a line: y − y 1 = 2(x − x 1) And then put in the point (5,4): y − 4 = 2(x − 5) That is an answer!
- Slope
- −0.5
Definition of Parallel and Perpendicular Lines. Parallel and perpendicular lines play a vital role in geometry. Both of them have distinct properties and applications. Definition of Parallel Lines. Two lines are said to be parallel if they lie in the same plane and the distance between them is the same. Parallel lines never meet each other.
Likewise, parallel lines become perpendicular when one line is rotated 90°. Parallel Curves. Curves can also be parallel when they keep the same distance apart (called "equidistant"), like railroad tracks. The red curve is parallel to the blue curve in both these cases:
c.) False, parallel lines do not intersect each other at all, only perpendicular lines intersect at 90°. Example 3: Fill in the blanks using the properties of parallel and perpendicular lines. a.) _____ lines are always equidistant from each other.
May 7, 2024 · Lines that intersect each other at right angles are known as perpendicular lines. Define Parallel Lines. Lines that are always the same distance apart and do not intersect are known as parallel lines. How are Parallel and Perpendicular Lines Similar? Parallel and perpendicular lines have one similarity is that they both are consist of straight ...
Mar 31, 2018 · Since the slopes are equal, AB and UV are parallel lines. Example 2: Given R(-2,3), S(6,-1), K(-5,4), and L(1,8), what is the relationship between line-RS and line-KL? The slope of line-RS is - 1 / 2. The slope of line-KL is 2 / 3. Since these slopes are neither equal nor opposite reciprocal, these lines are neither parallel nor perpendicular.
Two lines are said to be perpendicular if they intersect at right angles (90o). Slopes of Parallel and Perpendicular Lines. In analytic geometry, we often track the angles using the slopes of the involved lines. So it’s only natural that we use slopes (generally denoted by the letter m) when working with parallel and perpendicular lines too.
